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Finding the Fourth Proportional to 3,968.80, 5,481.62 and 2,640.13

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Solution

The fourth proportional to 3,968.80, 5,481.62 and 2,640.13 is: 3,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.80 : 5,481.62 = 2,640.13 : x
  2. Step 2: Convert to fraction form
    3,968.80/5,481.62 = 2,640.13/x
  3. Step 3: Cross multiply
    3,968.80x = 5,481.62 × 2,640.13
  4. Step 4: Simplify right side
    3,968.80x = 14,472,189.41
  5. Step 5: Solve for x
    x = 14,472,189.41/3,968.80
  6. Step 6: Final answer
    x = 3,646.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.