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Finding the Fourth Proportional to 4,090.44, 5,644.85 and 2,227.44

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Solution

The fourth proportional to 4,090.44, 5,644.85 and 2,227.44 is: 3,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.44 : 5,644.85 = 2,227.44 : x
  2. Step 2: Convert to fraction form
    4,090.44/5,644.85 = 2,227.44/x
  3. Step 3: Cross multiply
    4,090.44x = 5,644.85 × 2,227.44
  4. Step 4: Simplify right side
    4,090.44x = 12,573,553.55
  5. Step 5: Solve for x
    x = 12,573,553.55/4,090.44
  6. Step 6: Final answer
    x = 3,073.89

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