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Finding the Fourth Proportional to 5,863.66, 8,091.88 and 3,211.05

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Solution

The fourth proportional to 5,863.66, 8,091.88 and 3,211.05 is: 4,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.66 : 8,091.88 = 3,211.05 : x
  2. Step 2: Convert to fraction form
    5,863.66/8,091.88 = 3,211.05/x
  3. Step 3: Cross multiply
    5,863.66x = 8,091.88 × 3,211.05
  4. Step 4: Simplify right side
    5,863.66x = 25,983,431.27
  5. Step 5: Solve for x
    x = 25,983,431.27/5,863.66
  6. Step 6: Final answer
    x = 4,431.26

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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.