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Finding the Fourth Proportional to 3,685.92, 5,524.56 and 1,493.52

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Solution

The fourth proportional to 3,685.92, 5,524.56 and 1,493.52 is: 2,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.92 : 5,524.56 = 1,493.52 : x
  2. Step 2: Convert to fraction form
    3,685.92/5,524.56 = 1,493.52/x
  3. Step 3: Cross multiply
    3,685.92x = 5,524.56 × 1,493.52
  4. Step 4: Simplify right side
    3,685.92x = 8,251,040.85
  5. Step 5: Solve for x
    x = 8,251,040.85/3,685.92
  6. Step 6: Final answer
    x = 2,238.53

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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.