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Finding the Fourth Proportional to 3,883.32, 5,359.02 and 2,227

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Solution

The fourth proportional to 3,883.32, 5,359.02 and 2,227 is: 3,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.32 : 5,359.02 = 2,227 : x
  2. Step 2: Convert to fraction form
    3,883.32/5,359.02 = 2,227/x
  3. Step 3: Cross multiply
    3,883.32x = 5,359.02 × 2,227
  4. Step 4: Simplify right side
    3,883.32x = 11,934,537.54
  5. Step 5: Solve for x
    x = 11,934,537.54/3,883.32
  6. Step 6: Final answer
    x = 3,073.28

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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.