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Finding the Fourth Proportional to 3,754.39, 5,183.57 and 2,338.65

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Solution

The fourth proportional to 3,754.39, 5,183.57 and 2,338.65 is: 3,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.39 : 5,183.57 = 2,338.65 : x
  2. Step 2: Convert to fraction form
    3,754.39/5,183.57 = 2,338.65/x
  3. Step 3: Cross multiply
    3,754.39x = 5,183.57 × 2,338.65
  4. Step 4: Simplify right side
    3,754.39x = 12,122,555.98
  5. Step 5: Solve for x
    x = 12,122,555.98/3,754.39
  6. Step 6: Final answer
    x = 3,228.90

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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.