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5499.

To round to the nearest thousand, the hundreds digit would be the decider: if 5 or more it would round up, 4 or less would round down. Need to round down, so the hundreds digit must be 4.

The tens and units make no difference, so have them as large are possible, namely 9 each, to give: 5499 as the largest whole number that rounds to 5000 to the nearest 1000.

A quick way is to observe 1000/2 = 500, so need to add 1 less than this (499) to the number and it will round down, that is 5000 + 1000/2 - 1 = 5000 + 500 - 1 = 5499.

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