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Finding the Fourth Proportional to 3,863.85, 5,331.52 and 2,270.38

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Solution

The fourth proportional to 3,863.85, 5,331.52 and 2,270.38 is: 3,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.85 : 5,331.52 = 2,270.38 : x
  2. Step 2: Convert to fraction form
    3,863.85/5,331.52 = 2,270.38/x
  3. Step 3: Cross multiply
    3,863.85x = 5,331.52 × 2,270.38
  4. Step 4: Simplify right side
    3,863.85x = 12,104,576.38
  5. Step 5: Solve for x
    x = 12,104,576.38/3,863.85
  6. Step 6: Final answer
    x = 3,132.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.