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Finding the Fourth Proportional to 3,337.68, 5,007.39 and 1,257.71

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Solution

The fourth proportional to 3,337.68, 5,007.39 and 1,257.71 is: 1,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.68 : 5,007.39 = 1,257.71 : x
  2. Step 2: Convert to fraction form
    3,337.68/5,007.39 = 1,257.71/x
  3. Step 3: Cross multiply
    3,337.68x = 5,007.39 × 1,257.71
  4. Step 4: Simplify right side
    3,337.68x = 6,297,819.44
  5. Step 5: Solve for x
    x = 6,297,819.44/3,337.68
  6. Step 6: Final answer
    x = 1,886.89

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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.