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Finding the Fourth Proportional to 3,729.34, 5,593.02 and 1,132.30

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Solution

The fourth proportional to 3,729.34, 5,593.02 and 1,132.30 is: 1,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.34 : 5,593.02 = 1,132.30 : x
  2. Step 2: Convert to fraction form
    3,729.34/5,593.02 = 1,132.30/x
  3. Step 3: Cross multiply
    3,729.34x = 5,593.02 × 1,132.30
  4. Step 4: Simplify right side
    3,729.34x = 6,332,976.55
  5. Step 5: Solve for x
    x = 6,332,976.55/3,729.34
  6. Step 6: Final answer
    x = 1,698.15

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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.