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Finding the Fourth Proportional to 3,766.38, 5,650.17 and 1,169.92

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Solution

The fourth proportional to 3,766.38, 5,650.17 and 1,169.92 is: 1,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.38 : 5,650.17 = 1,169.92 : x
  2. Step 2: Convert to fraction form
    3,766.38/5,650.17 = 1,169.92/x
  3. Step 3: Cross multiply
    3,766.38x = 5,650.17 × 1,169.92
  4. Step 4: Simplify right side
    3,766.38x = 6,610,246.89
  5. Step 5: Solve for x
    x = 6,610,246.89/3,766.38
  6. Step 6: Final answer
    x = 1,755.07

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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.