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Finding the Fourth Proportional to 3,374.71, 5,061.96 and 3,171.80

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Solution

The fourth proportional to 3,374.71, 5,061.96 and 3,171.80 is: 4,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.71 : 5,061.96 = 3,171.80 : x
  2. Step 2: Convert to fraction form
    3,374.71/5,061.96 = 3,171.80/x
  3. Step 3: Cross multiply
    3,374.71x = 5,061.96 × 3,171.80
  4. Step 4: Simplify right side
    3,374.71x = 16,055,537.38
  5. Step 5: Solve for x
    x = 16,055,537.38/3,374.71
  6. Step 6: Final answer
    x = 4,757.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.