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Finding the Fourth Proportional to 3,884.18, 5,822.16 and 2,787.95

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Solution

The fourth proportional to 3,884.18, 5,822.16 and 2,787.95 is: 4,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.18 : 5,822.16 = 2,787.95 : x
  2. Step 2: Convert to fraction form
    3,884.18/5,822.16 = 2,787.95/x
  3. Step 3: Cross multiply
    3,884.18x = 5,822.16 × 2,787.95
  4. Step 4: Simplify right side
    3,884.18x = 16,231,861.86
  5. Step 5: Solve for x
    x = 16,231,861.86/3,884.18
  6. Step 6: Final answer
    x = 4,178.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.