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Finding the Fourth Proportional to 3,665.28, 5,481.72 and 3,257.04

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Solution

The fourth proportional to 3,665.28, 5,481.72 and 3,257.04 is: 4,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.28 : 5,481.72 = 3,257.04 : x
  2. Step 2: Convert to fraction form
    3,665.28/5,481.72 = 3,257.04/x
  3. Step 3: Cross multiply
    3,665.28x = 5,481.72 × 3,257.04
  4. Step 4: Simplify right side
    3,665.28x = 17,854,181.31
  5. Step 5: Solve for x
    x = 17,854,181.31/3,665.28
  6. Step 6: Final answer
    x = 4,871.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.