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Finding the Fourth Proportional to 3,872.50, 5,340.43 and 2,986.90

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Solution

The fourth proportional to 3,872.50, 5,340.43 and 2,986.90 is: 4,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.50 : 5,340.43 = 2,986.90 : x
  2. Step 2: Convert to fraction form
    3,872.50/5,340.43 = 2,986.90/x
  3. Step 3: Cross multiply
    3,872.50x = 5,340.43 × 2,986.90
  4. Step 4: Simplify right side
    3,872.50x = 15,951,330.37
  5. Step 5: Solve for x
    x = 15,951,330.37/3,872.50
  6. Step 6: Final answer
    x = 4,119.13

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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.