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Finding the Fourth Proportional to 3,905.90, 5,389.89 and 2,227.49

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Solution

The fourth proportional to 3,905.90, 5,389.89 and 2,227.49 is: 3,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.90 : 5,389.89 = 2,227.49 : x
  2. Step 2: Convert to fraction form
    3,905.90/5,389.89 = 2,227.49/x
  3. Step 3: Cross multiply
    3,905.90x = 5,389.89 × 2,227.49
  4. Step 4: Simplify right side
    3,905.90x = 12,005,926.08
  5. Step 5: Solve for x
    x = 12,005,926.08/3,905.90
  6. Step 6: Final answer
    x = 3,073.79

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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.