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Finding the Fourth Proportional to 3,863.26, 5,794.80 and 2,218.60

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Solution

The fourth proportional to 3,863.26, 5,794.80 and 2,218.60 is: 3,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.26 : 5,794.80 = 2,218.60 : x
  2. Step 2: Convert to fraction form
    3,863.26/5,794.80 = 2,218.60/x
  3. Step 3: Cross multiply
    3,863.26x = 5,794.80 × 2,218.60
  4. Step 4: Simplify right side
    3,863.26x = 12,856,343.28
  5. Step 5: Solve for x
    x = 12,856,343.28/3,863.26
  6. Step 6: Final answer
    x = 3,327.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.