Australia became the first side to win three successive Tests in the West Indies with a nine-wicket victory in the third Test on Monday.
The triumph not only gave Steve Waugh's side an unassailable 3-0 lead in the four-match series, but moved them back to the top of the world Test rankings.
Australia, needing just eight runs to win after bowling West Indies out for 284 in their second innings, lost opening batsman Justin Langer for a first-ball duck leg before wicket to give Jermaine Lawson the rare distinction of a split hat-trick.
Darren Lehman and Matthew Hayden, however, then knocked off the required eight runs for victory in 2.3 overs midway through the afternoon session of the final day.
Earlier, leg-spinner Stuart MacGill took five for 75 as West Indies were bowled out for 284 in their second innings.
Australia had imposed the follow-on on Sunday after bowling the home side out for 328 while chasing their mammoth first innings total of 605 for nine declared.
MacGill, who made a crucial breakthrough on the first ball of the day when he had Ramnaresh Sarwan lbw, struck again shortly after lunch as he found Omari Banks' outside edge for Matthew Hayden to take the catch at first slip for 32.
Shivnarine Chanderpaul, who shared a sixth-wicket partnership of 61 with Banks, went four balls later when he lost concentration and edged Jason Gillespie to Gilchrist for 21, leaving the West Indies 256 for seven.
MacGill bowled Vasbert Drakes for a duck with a delivery, which embarrassingly went through the batsman's legs and hit the base of the off-stump. He then removed Tino Best when the Barbadian debutant hit the ball straight to Andy Bichel at mid-wicket.
West Indies avoided an innings defeat when Carlton Baugh was run out for 18.