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Finding the Fourth Proportional to 5,863.62, 8,091.89 and 3,211.27

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Solution

The fourth proportional to 5,863.62, 8,091.89 and 3,211.27 is: 4,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.62 : 8,091.89 = 3,211.27 : x
  2. Step 2: Convert to fraction form
    5,863.62/8,091.89 = 3,211.27/x
  3. Step 3: Cross multiply
    5,863.62x = 8,091.89 × 3,211.27
  4. Step 4: Simplify right side
    5,863.62x = 25,985,243.60
  5. Step 5: Solve for x
    x = 25,985,243.60/5,863.62
  6. Step 6: Final answer
    x = 4,431.60

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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.