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Finding the Fourth Proportional to 4,260.57, 5,879.17 and 3,142.11

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Solution

The fourth proportional to 4,260.57, 5,879.17 and 3,142.11 is: 4,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,260.57 : 5,879.17 = 3,142.11 : x
  2. Step 2: Convert to fraction form
    4,260.57/5,879.17 = 3,142.11/x
  3. Step 3: Cross multiply
    4,260.57x = 5,879.17 × 3,142.11
  4. Step 4: Simplify right side
    4,260.57x = 18,472,998.85
  5. Step 5: Solve for x
    x = 18,472,998.85/4,260.57
  6. Step 6: Final answer
    x = 4,335.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.