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Finding the Fourth Proportional to 3,800.20, 5,242.17 and 2,227.99

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Solution

The fourth proportional to 3,800.20, 5,242.17 and 2,227.99 is: 3,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.20 : 5,242.17 = 2,227.99 : x
  2. Step 2: Convert to fraction form
    3,800.20/5,242.17 = 2,227.99/x
  3. Step 3: Cross multiply
    3,800.20x = 5,242.17 × 2,227.99
  4. Step 4: Simplify right side
    3,800.20x = 11,679,502.34
  5. Step 5: Solve for x
    x = 11,679,502.34/3,800.20
  6. Step 6: Final answer
    x = 3,073.39

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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.