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Finding the Fourth Proportional to 3,872.55, 5,814.90 and 2,232.30

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Solution

The fourth proportional to 3,872.55, 5,814.90 and 2,232.30 is: 3,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.55 : 5,814.90 = 2,232.30 : x
  2. Step 2: Convert to fraction form
    3,872.55/5,814.90 = 2,232.30/x
  3. Step 3: Cross multiply
    3,872.55x = 5,814.90 × 2,232.30
  4. Step 4: Simplify right side
    3,872.55x = 12,980,601.27
  5. Step 5: Solve for x
    x = 12,980,601.27/3,872.55
  6. Step 6: Final answer
    x = 3,351.95

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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.