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Finding the Fourth Proportional to 4,138.79, 5,711.54 and 2,250.38

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Solution

The fourth proportional to 4,138.79, 5,711.54 and 2,250.38 is: 3,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.79 : 5,711.54 = 2,250.38 : x
  2. Step 2: Convert to fraction form
    4,138.79/5,711.54 = 2,250.38/x
  3. Step 3: Cross multiply
    4,138.79x = 5,711.54 × 2,250.38
  4. Step 4: Simplify right side
    4,138.79x = 12,853,138.41
  5. Step 5: Solve for x
    x = 12,853,138.41/4,138.79
  6. Step 6: Final answer
    x = 3,105.53

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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.