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Finding the Fourth Proportional to 4,337.47, 6,509.85 and 1,874.17

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Solution

The fourth proportional to 4,337.47, 6,509.85 and 1,874.17 is: 2,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.47 : 6,509.85 = 1,874.17 : x
  2. Step 2: Convert to fraction form
    4,337.47/6,509.85 = 1,874.17/x
  3. Step 3: Cross multiply
    4,337.47x = 6,509.85 × 1,874.17
  4. Step 4: Simplify right side
    4,337.47x = 12,200,565.57
  5. Step 5: Solve for x
    x = 12,200,565.57/4,337.47
  6. Step 6: Final answer
    x = 2,812.83

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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.