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Finding the Fourth Proportional to 4,096.68, 6,147.72 and 2,249.12

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Solution

The fourth proportional to 4,096.68, 6,147.72 and 2,249.12 is: 3,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.68 : 6,147.72 = 2,249.12 : x
  2. Step 2: Convert to fraction form
    4,096.68/6,147.72 = 2,249.12/x
  3. Step 3: Cross multiply
    4,096.68x = 6,147.72 × 2,249.12
  4. Step 4: Simplify right side
    4,096.68x = 13,826,960.01
  5. Step 5: Solve for x
    x = 13,826,960.01/4,096.68
  6. Step 6: Final answer
    x = 3,375.16

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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.