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Finding the Fourth Proportional to 3,756, 5,182.38 and 2,183.78

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Solution

The fourth proportional to 3,756, 5,182.38 and 2,183.78 is: 3,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756 : 5,182.38 = 2,183.78 : x
  2. Step 2: Convert to fraction form
    3,756/5,182.38 = 2,183.78/x
  3. Step 3: Cross multiply
    3,756x = 5,182.38 × 2,183.78
  4. Step 4: Simplify right side
    3,756x = 11,317,177.80
  5. Step 5: Solve for x
    x = 11,317,177.80/3,756
  6. Step 6: Final answer
    x = 3,013.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.