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Finding the Fourth Proportional to 3,712.87, 5,569.20 and 1,247.83

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Solution

The fourth proportional to 3,712.87, 5,569.20 and 1,247.83 is: 1,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.87 : 5,569.20 = 1,247.83 : x
  2. Step 2: Convert to fraction form
    3,712.87/5,569.20 = 1,247.83/x
  3. Step 3: Cross multiply
    3,712.87x = 5,569.20 × 1,247.83
  4. Step 4: Simplify right side
    3,712.87x = 6,949,400.91
  5. Step 5: Solve for x
    x = 6,949,400.91/3,712.87
  6. Step 6: Final answer
    x = 1,871.71

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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.