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Finding the Fourth Proportional to 5,841.91, 8,061.80 and 3,189.32

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Solution

The fourth proportional to 5,841.91, 8,061.80 and 3,189.32 is: 4,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.91 : 8,061.80 = 3,189.32 : x
  2. Step 2: Convert to fraction form
    5,841.91/8,061.80 = 3,189.32/x
  3. Step 3: Cross multiply
    5,841.91x = 8,061.80 × 3,189.32
  4. Step 4: Simplify right side
    5,841.91x = 25,711,659.98
  5. Step 5: Solve for x
    x = 25,711,659.98/5,841.91
  6. Step 6: Final answer
    x = 4,401.24

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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.