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Finding the Fourth Proportional to 3,142.41, 4,713.57 and 1,061.97

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Solution

The fourth proportional to 3,142.41, 4,713.57 and 1,061.97 is: 1,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.41 : 4,713.57 = 1,061.97 : x
  2. Step 2: Convert to fraction form
    3,142.41/4,713.57 = 1,061.97/x
  3. Step 3: Cross multiply
    3,142.41x = 4,713.57 × 1,061.97
  4. Step 4: Simplify right side
    3,142.41x = 5,005,669.93
  5. Step 5: Solve for x
    x = 5,005,669.93/3,142.41
  6. Step 6: Final answer
    x = 1,592.94

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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.