Pakistan squandered an opening stand of 126 between openers Sarfraz Ahmed (65) and Ahmed Shahzad (61) and were bowled out for 215 in 49.3 overs with paceman Mitchell Johnson taking 3-40.
Glenn Maxwell then punished the sloppy Pakistan fielding with an 81-ball 76 as Australia reached their target in 43.2 overs for their fourth consecutive one-day series win over Pakistan.
Maxwell added an invaluable 85 for the fourth wicket with skipper George Bailey (28), steadying the chase after Pakistan dismissed Aaron Finch (14), David Warner (29) and Steven Smith (12) to leave Australia wobbling at 72-3.
But Pakistan spurned a good chance of dismissing the dangerous Maxwell on five when Umar Akmal dropped him in the slips off debutant Raza Hasan.
Hasan was also unlucky in the early overs when Fawad Alam let off Warner on ten, making Pakistan's defence of a modest target even tougher.
Maxwell took advantage of the let off, reaching his eighth half-century off 56 deliveries.
Maxwell continued to punish the bowlers after Bailey was run out. With 38 needed off 81 balls, he holed out off Zulfiqar Babar after hitting nine boundaries and a six.
James Faulkner (26 not out) and Brad Haddin (17 not out) ensured Australia secured the win.
"I am satisfied," said Bailey, standing in for the injured Michael Clarke.
"It was a pretty challenging pitch but we're happy that we dragged them to 215 and then Glenn played a wonderful knock."

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