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Finding the Fourth Proportional to 3,677.92, 5,074.50 and 3,493.24

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Solution

The fourth proportional to 3,677.92, 5,074.50 and 3,493.24 is: 4,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.92 : 5,074.50 = 3,493.24 : x
  2. Step 2: Convert to fraction form
    3,677.92/5,074.50 = 3,493.24/x
  3. Step 3: Cross multiply
    3,677.92x = 5,074.50 × 3,493.24
  4. Step 4: Simplify right side
    3,677.92x = 17,726,446.38
  5. Step 5: Solve for x
    x = 17,726,446.38/3,677.92
  6. Step 6: Final answer
    x = 4,819.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.