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Finding the Fourth Proportional to 3,857.78, 5,786.24 and 1,084.57

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Solution

The fourth proportional to 3,857.78, 5,786.24 and 1,084.57 is: 1,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.78 : 5,786.24 = 1,084.57 : x
  2. Step 2: Convert to fraction form
    3,857.78/5,786.24 = 1,084.57/x
  3. Step 3: Cross multiply
    3,857.78x = 5,786.24 × 1,084.57
  4. Step 4: Simplify right side
    3,857.78x = 6,275,562.43
  5. Step 5: Solve for x
    x = 6,275,562.43/3,857.78
  6. Step 6: Final answer
    x = 1,626.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.