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Finding the Fourth Proportional to 3,787.67, 5,227.14 and 2,109.15

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Solution

The fourth proportional to 3,787.67, 5,227.14 and 2,109.15 is: 2,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.67 : 5,227.14 = 2,109.15 : x
  2. Step 2: Convert to fraction form
    3,787.67/5,227.14 = 2,109.15/x
  3. Step 3: Cross multiply
    3,787.67x = 5,227.14 × 2,109.15
  4. Step 4: Simplify right side
    3,787.67x = 11,024,822.33
  5. Step 5: Solve for x
    x = 11,024,822.33/3,787.67
  6. Step 6: Final answer
    x = 2,910.71

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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.