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Finding the Fourth Proportional to 5,882.01, 8,116.85 and 3,229.22

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Solution

The fourth proportional to 5,882.01, 8,116.85 and 3,229.22 is: 4,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.01 : 8,116.85 = 3,229.22 : x
  2. Step 2: Convert to fraction form
    5,882.01/8,116.85 = 3,229.22/x
  3. Step 3: Cross multiply
    5,882.01x = 8,116.85 × 3,229.22
  4. Step 4: Simplify right side
    5,882.01x = 26,211,037.63
  5. Step 5: Solve for x
    x = 26,211,037.63/5,882.01
  6. Step 6: Final answer
    x = 4,456.14

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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.