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Finding the Fourth Proportional to 2,787.28, 3,847.50 and 2,392.72

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Solution

The fourth proportional to 2,787.28, 3,847.50 and 2,392.72 is: 3,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.28 : 3,847.50 = 2,392.72 : x
  2. Step 2: Convert to fraction form
    2,787.28/3,847.50 = 2,392.72/x
  3. Step 3: Cross multiply
    2,787.28x = 3,847.50 × 2,392.72
  4. Step 4: Simplify right side
    2,787.28x = 9,205,990.20
  5. Step 5: Solve for x
    x = 9,205,990.20/2,787.28
  6. Step 6: Final answer
    x = 3,302.86

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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.