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Finding the Fourth Proportional to 3,768.16, 5,198.16 and 2,524

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Solution

The fourth proportional to 3,768.16, 5,198.16 and 2,524 is: 3,481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.16 : 5,198.16 = 2,524 : x
  2. Step 2: Convert to fraction form
    3,768.16/5,198.16 = 2,524/x
  3. Step 3: Cross multiply
    3,768.16x = 5,198.16 × 2,524
  4. Step 4: Simplify right side
    3,768.16x = 13,120,155.84
  5. Step 5: Solve for x
    x = 13,120,155.84/3,768.16
  6. Step 6: Final answer
    x = 3,481.85

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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.