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Finding the Fourth Proportional to 3,634.93, 5,451.87 and 1,169.43

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Solution

The fourth proportional to 3,634.93, 5,451.87 and 1,169.43 is: 1,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.93 : 5,451.87 = 1,169.43 : x
  2. Step 2: Convert to fraction form
    3,634.93/5,451.87 = 1,169.43/x
  3. Step 3: Cross multiply
    3,634.93x = 5,451.87 × 1,169.43
  4. Step 4: Simplify right side
    3,634.93x = 6,375,580.33
  5. Step 5: Solve for x
    x = 6,375,580.33/3,634.93
  6. Step 6: Final answer
    x = 1,753.98

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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.