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Finding the Fourth Proportional to 3,142.19, 4,713.13 and 1,062.27

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Solution

The fourth proportional to 3,142.19, 4,713.13 and 1,062.27 is: 1,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.19 : 4,713.13 = 1,062.27 : x
  2. Step 2: Convert to fraction form
    3,142.19/4,713.13 = 1,062.27/x
  3. Step 3: Cross multiply
    3,142.19x = 4,713.13 × 1,062.27
  4. Step 4: Simplify right side
    3,142.19x = 5,006,613.95
  5. Step 5: Solve for x
    x = 5,006,613.95/3,142.19
  6. Step 6: Final answer
    x = 1,593.35

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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.