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Finding the Fourth Proportional to 5,876.97, 8,105.69 and 4,084.43

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Solution

The fourth proportional to 5,876.97, 8,105.69 and 4,084.43 is: 5,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.97 : 8,105.69 = 4,084.43 : x
  2. Step 2: Convert to fraction form
    5,876.97/8,105.69 = 4,084.43/x
  3. Step 3: Cross multiply
    5,876.97x = 8,105.69 × 4,084.43
  4. Step 4: Simplify right side
    5,876.97x = 33,107,082.88
  5. Step 5: Solve for x
    x = 33,107,082.88/5,876.97
  6. Step 6: Final answer
    x = 5,633.36

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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.