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Finding the Fourth Proportional to 4,337.92, 6,475.49 and 3,812.46

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Solution

The fourth proportional to 4,337.92, 6,475.49 and 3,812.46 is: 5,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.92 : 6,475.49 = 3,812.46 : x
  2. Step 2: Convert to fraction form
    4,337.92/6,475.49 = 3,812.46/x
  3. Step 3: Cross multiply
    4,337.92x = 6,475.49 × 3,812.46
  4. Step 4: Simplify right side
    4,337.92x = 24,687,546.61
  5. Step 5: Solve for x
    x = 24,687,546.61/4,337.92
  6. Step 6: Final answer
    x = 5,691.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.