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To find the time it takes for the candle to burn 3 and one-fourth inches, we can set up a proportion.
Let x be the number of hours it takes to burn 3 and one-fourth inches.
We can set up the proportion:
5 inches / 10 hours = 3.25 inches / x hours
Cross multiplying, we get:
5x = 32.5
Dividing both sides by 5, we find:
x = 6.5
Therefore, it will take 6.5 hours for the candle to burn 3 and one-fourth inches.