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Finding the Fourth Proportional to 3,138.55, 4,331.69 and 2,257.27

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Solution

The fourth proportional to 3,138.55, 4,331.69 and 2,257.27 is: 3,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.55 : 4,331.69 = 2,257.27 : x
  2. Step 2: Convert to fraction form
    3,138.55/4,331.69 = 2,257.27/x
  3. Step 3: Cross multiply
    3,138.55x = 4,331.69 × 2,257.27
  4. Step 4: Simplify right side
    3,138.55x = 9,777,782.60
  5. Step 5: Solve for x
    x = 9,777,782.60/3,138.55
  6. Step 6: Final answer
    x = 3,115.38

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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.