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Finding the Fourth Proportional to 3,863.16, 5,331.60 and 2,291.22

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Solution

The fourth proportional to 3,863.16, 5,331.60 and 2,291.22 is: 3,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.16 : 5,331.60 = 2,291.22 : x
  2. Step 2: Convert to fraction form
    3,863.16/5,331.60 = 2,291.22/x
  3. Step 3: Cross multiply
    3,863.16x = 5,331.60 × 2,291.22
  4. Step 4: Simplify right side
    3,863.16x = 12,215,868.55
  5. Step 5: Solve for x
    x = 12,215,868.55/3,863.16
  6. Step 6: Final answer
    x = 3,162.14

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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.