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Finding the Fourth Proportional to 3,863.60, 5,331.40 and 2,291.40

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Solution

The fourth proportional to 3,863.60, 5,331.40 and 2,291.40 is: 3,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.60 : 5,331.40 = 2,291.40 : x
  2. Step 2: Convert to fraction form
    3,863.60/5,331.40 = 2,291.40/x
  3. Step 3: Cross multiply
    3,863.60x = 5,331.40 × 2,291.40
  4. Step 4: Simplify right side
    3,863.60x = 12,216,369.96
  5. Step 5: Solve for x
    x = 12,216,369.96/3,863.60
  6. Step 6: Final answer
    x = 3,161.91

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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.