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Finding the Fourth Proportional to 5,863.97, 8,092.46 and 3,211.37

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Solution

The fourth proportional to 5,863.97, 8,092.46 and 3,211.37 is: 4,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.97 : 8,092.46 = 3,211.37 : x
  2. Step 2: Convert to fraction form
    5,863.97/8,092.46 = 3,211.37/x
  3. Step 3: Cross multiply
    5,863.97x = 8,092.46 × 3,211.37
  4. Step 4: Simplify right side
    5,863.97x = 25,987,826.75
  5. Step 5: Solve for x
    x = 25,987,826.75/5,863.97
  6. Step 6: Final answer
    x = 4,431.78

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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.