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Finding the Fourth Proportional to 5,863.71, 8,091.77 and 3,211.23

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Solution

The fourth proportional to 5,863.71, 8,091.77 and 3,211.23 is: 4,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.71 : 8,091.77 = 3,211.23 : x
  2. Step 2: Convert to fraction form
    5,863.71/8,091.77 = 3,211.23/x
  3. Step 3: Cross multiply
    5,863.71x = 8,091.77 × 3,211.23
  4. Step 4: Simplify right side
    5,863.71x = 25,984,534.58
  5. Step 5: Solve for x
    x = 25,984,534.58/5,863.71
  6. Step 6: Final answer
    x = 4,431.42

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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.