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Finding the Fourth Proportional to 3,766, 5,649.54 and 1,169.14

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Solution

The fourth proportional to 3,766, 5,649.54 and 1,169.14 is: 1,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766 : 5,649.54 = 1,169.14 : x
  2. Step 2: Convert to fraction form
    3,766/5,649.54 = 1,169.14/x
  3. Step 3: Cross multiply
    3,766x = 5,649.54 × 1,169.14
  4. Step 4: Simplify right side
    3,766x = 6,605,103.20
  5. Step 5: Solve for x
    x = 6,605,103.20/3,766
  6. Step 6: Final answer
    x = 1,753.88

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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.