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Finding the Fourth Proportional to 3,917.52, 5,882.04 and 1,613.52

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Solution

The fourth proportional to 3,917.52, 5,882.04 and 1,613.52 is: 2,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.52 : 5,882.04 = 1,613.52 : x
  2. Step 2: Convert to fraction form
    3,917.52/5,882.04 = 1,613.52/x
  3. Step 3: Cross multiply
    3,917.52x = 5,882.04 × 1,613.52
  4. Step 4: Simplify right side
    3,917.52x = 9,490,789.18
  5. Step 5: Solve for x
    x = 9,490,789.18/3,917.52
  6. Step 6: Final answer
    x = 2,422.65

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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.