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Finding the Fourth Proportional to 3,141.72, 4,712.85 and 1,061.78

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Solution

The fourth proportional to 3,141.72, 4,712.85 and 1,061.78 is: 1,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.72 : 4,712.85 = 1,061.78 : x
  2. Step 2: Convert to fraction form
    3,141.72/4,712.85 = 1,061.78/x
  3. Step 3: Cross multiply
    3,141.72x = 4,712.85 × 1,061.78
  4. Step 4: Simplify right side
    3,141.72x = 5,003,986.31
  5. Step 5: Solve for x
    x = 5,003,986.31/3,141.72
  6. Step 6: Final answer
    x = 1,592.75

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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.