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Finding the Fourth Proportional to 4,229.39, 6,342.68 and 2,007.92

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Solution

The fourth proportional to 4,229.39, 6,342.68 and 2,007.92 is: 3,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.39 : 6,342.68 = 2,007.92 : x
  2. Step 2: Convert to fraction form
    4,229.39/6,342.68 = 2,007.92/x
  3. Step 3: Cross multiply
    4,229.39x = 6,342.68 × 2,007.92
  4. Step 4: Simplify right side
    4,229.39x = 12,735,614.90
  5. Step 5: Solve for x
    x = 12,735,614.90/4,229.39
  6. Step 6: Final answer
    x = 3,011.22

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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.