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Finding the Fourth Proportional to 3,144.72, 4,338.92 and 2,096.08

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Solution

The fourth proportional to 3,144.72, 4,338.92 and 2,096.08 is: 2,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.72 : 4,338.92 = 2,096.08 : x
  2. Step 2: Convert to fraction form
    3,144.72/4,338.92 = 2,096.08/x
  3. Step 3: Cross multiply
    3,144.72x = 4,338.92 × 2,096.08
  4. Step 4: Simplify right side
    3,144.72x = 9,094,723.43
  5. Step 5: Solve for x
    x = 9,094,723.43/3,144.72
  6. Step 6: Final answer
    x = 2,892.06

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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.