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Finding the Fourth Proportional to 3,767.92, 5,647.02 and 3,251.14

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Solution

The fourth proportional to 3,767.92, 5,647.02 and 3,251.14 is: 4,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.92 : 5,647.02 = 3,251.14 : x
  2. Step 2: Convert to fraction form
    3,767.92/5,647.02 = 3,251.14/x
  3. Step 3: Cross multiply
    3,767.92x = 5,647.02 × 3,251.14
  4. Step 4: Simplify right side
    3,767.92x = 18,359,252.60
  5. Step 5: Solve for x
    x = 18,359,252.60/3,767.92
  6. Step 6: Final answer
    x = 4,872.52

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Why These Related Problems?

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