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Finding the Fourth Proportional to 3,717.47, 5,574.78 and 1,251.62

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Solution

The fourth proportional to 3,717.47, 5,574.78 and 1,251.62 is: 1,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.47 : 5,574.78 = 1,251.62 : x
  2. Step 2: Convert to fraction form
    3,717.47/5,574.78 = 1,251.62/x
  3. Step 3: Cross multiply
    3,717.47x = 5,574.78 × 1,251.62
  4. Step 4: Simplify right side
    3,717.47x = 6,977,520.08
  5. Step 5: Solve for x
    x = 6,977,520.08/3,717.47
  6. Step 6: Final answer
    x = 1,876.96

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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.