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Finding the Fourth Proportional to 3,249.10, 4,874.10 and 1,027.16

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Solution

The fourth proportional to 3,249.10, 4,874.10 and 1,027.16 is: 1,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.10 : 4,874.10 = 1,027.16 : x
  2. Step 2: Convert to fraction form
    3,249.10/4,874.10 = 1,027.16/x
  3. Step 3: Cross multiply
    3,249.10x = 4,874.10 × 1,027.16
  4. Step 4: Simplify right side
    3,249.10x = 5,006,480.56
  5. Step 5: Solve for x
    x = 5,006,480.56/3,249.10
  6. Step 6: Final answer
    x = 1,540.88

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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.