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Finding the Fourth Proportional to 3,912.95, 5,399.65 and 2,144.20

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Solution

The fourth proportional to 3,912.95, 5,399.65 and 2,144.20 is: 2,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.95 : 5,399.65 = 2,144.20 : x
  2. Step 2: Convert to fraction form
    3,912.95/5,399.65 = 2,144.20/x
  3. Step 3: Cross multiply
    3,912.95x = 5,399.65 × 2,144.20
  4. Step 4: Simplify right side
    3,912.95x = 11,577,929.53
  5. Step 5: Solve for x
    x = 11,577,929.53/3,912.95
  6. Step 6: Final answer
    x = 2,958.87

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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.