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Finding the Fourth Proportional to 3,249.64, 4,874.97 and 1,057.85

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Solution

The fourth proportional to 3,249.64, 4,874.97 and 1,057.85 is: 1,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.64 : 4,874.97 = 1,057.85 : x
  2. Step 2: Convert to fraction form
    3,249.64/4,874.97 = 1,057.85/x
  3. Step 3: Cross multiply
    3,249.64x = 4,874.97 × 1,057.85
  4. Step 4: Simplify right side
    3,249.64x = 5,156,981.73
  5. Step 5: Solve for x
    x = 5,156,981.73/3,249.64
  6. Step 6: Final answer
    x = 1,586.94

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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.