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Finding the Fourth Proportional to 5,841.92, 8,061.83 and 3,189.31

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Solution

The fourth proportional to 5,841.92, 8,061.83 and 3,189.31 is: 4,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.92 : 8,061.83 = 3,189.31 : x
  2. Step 2: Convert to fraction form
    5,841.92/8,061.83 = 3,189.31/x
  3. Step 3: Cross multiply
    5,841.92x = 8,061.83 × 3,189.31
  4. Step 4: Simplify right side
    5,841.92x = 25,711,650.90
  5. Step 5: Solve for x
    x = 25,711,650.90/5,841.92
  6. Step 6: Final answer
    x = 4,401.23

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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.