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Finding the Fourth Proportional to 3,142.70, 4,713.27 and 1,062.66

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Solution

The fourth proportional to 3,142.70, 4,713.27 and 1,062.66 is: 1,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.70 : 4,713.27 = 1,062.66 : x
  2. Step 2: Convert to fraction form
    3,142.70/4,713.27 = 1,062.66/x
  3. Step 3: Cross multiply
    3,142.70x = 4,713.27 × 1,062.66
  4. Step 4: Simplify right side
    3,142.70x = 5,008,606.15
  5. Step 5: Solve for x
    x = 5,008,606.15/3,142.70
  6. Step 6: Final answer
    x = 1,593.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.