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Finding the Fourth Proportional to 3,787.55, 5,227.57 and 2,194.46

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Solution

The fourth proportional to 3,787.55, 5,227.57 and 2,194.46 is: 3,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.55 : 5,227.57 = 2,194.46 : x
  2. Step 2: Convert to fraction form
    3,787.55/5,227.57 = 2,194.46/x
  3. Step 3: Cross multiply
    3,787.55x = 5,227.57 × 2,194.46
  4. Step 4: Simplify right side
    3,787.55x = 11,471,689.47
  5. Step 5: Solve for x
    x = 11,471,689.47/3,787.55
  6. Step 6: Final answer
    x = 3,028.79

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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.