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Finding the Fourth Proportional to 3,753.20, 5,630.12 and 979.87

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Solution

The fourth proportional to 3,753.20, 5,630.12 and 979.87 is: 1,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.20 : 5,630.12 = 979.87 : x
  2. Step 2: Convert to fraction form
    3,753.20/5,630.12 = 979.87/x
  3. Step 3: Cross multiply
    3,753.20x = 5,630.12 × 979.87
  4. Step 4: Simplify right side
    3,753.20x = 5,516,785.68
  5. Step 5: Solve for x
    x = 5,516,785.68/3,753.20
  6. Step 6: Final answer
    x = 1,469.89

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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.