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Finding the Fourth Proportional to 3,952.91, 5,930.04 and 1,614.18

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Solution

The fourth proportional to 3,952.91, 5,930.04 and 1,614.18 is: 2,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.91 : 5,930.04 = 1,614.18 : x
  2. Step 2: Convert to fraction form
    3,952.91/5,930.04 = 1,614.18/x
  3. Step 3: Cross multiply
    3,952.91x = 5,930.04 × 1,614.18
  4. Step 4: Simplify right side
    3,952.91x = 9,572,151.97
  5. Step 5: Solve for x
    x = 9,572,151.97/3,952.91
  6. Step 6: Final answer
    x = 2,421.55

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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.