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Finding the Fourth Proportional to 3,463.76, 5,197.52 and 1,614.43

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Solution

The fourth proportional to 3,463.76, 5,197.52 and 1,614.43 is: 2,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.76 : 5,197.52 = 1,614.43 : x
  2. Step 2: Convert to fraction form
    3,463.76/5,197.52 = 1,614.43/x
  3. Step 3: Cross multiply
    3,463.76x = 5,197.52 × 1,614.43
  4. Step 4: Simplify right side
    3,463.76x = 8,391,011.15
  5. Step 5: Solve for x
    x = 8,391,011.15/3,463.76
  6. Step 6: Final answer
    x = 2,422.51

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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.