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Finding the Fourth Proportional to 3,447.50, 5,169.47 and 1,691.74

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Solution

The fourth proportional to 3,447.50, 5,169.47 and 1,691.74 is: 2,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.50 : 5,169.47 = 1,691.74 : x
  2. Step 2: Convert to fraction form
    3,447.50/5,169.47 = 1,691.74/x
  3. Step 3: Cross multiply
    3,447.50x = 5,169.47 × 1,691.74
  4. Step 4: Simplify right side
    3,447.50x = 8,745,377.80
  5. Step 5: Solve for x
    x = 8,745,377.80/3,447.50
  6. Step 6: Final answer
    x = 2,536.73

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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.