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Finding the Fourth Proportional to 3,142.52, 4,713.80 and 1,062.55

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Solution

The fourth proportional to 3,142.52, 4,713.80 and 1,062.55 is: 1,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.52 : 4,713.80 = 1,062.55 : x
  2. Step 2: Convert to fraction form
    3,142.52/4,713.80 = 1,062.55/x
  3. Step 3: Cross multiply
    3,142.52x = 4,713.80 × 1,062.55
  4. Step 4: Simplify right side
    3,142.52x = 5,008,619.31
  5. Step 5: Solve for x
    x = 5,008,619.31/3,142.52
  6. Step 6: Final answer
    x = 1,593.82

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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.