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Finding the Fourth Proportional to 5,872.82, 8,104.56 and 3,220.17

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Solution

The fourth proportional to 5,872.82, 8,104.56 and 3,220.17 is: 4,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.82 : 8,104.56 = 3,220.17 : x
  2. Step 2: Convert to fraction form
    5,872.82/8,104.56 = 3,220.17/x
  3. Step 3: Cross multiply
    5,872.82x = 8,104.56 × 3,220.17
  4. Step 4: Simplify right side
    5,872.82x = 26,098,064.10
  5. Step 5: Solve for x
    x = 26,098,064.10/5,872.82
  6. Step 6: Final answer
    x = 4,443.87

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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.