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Finding the Fourth Proportional to 4,524, 6,785.99 and 2,213.88

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Solution

The fourth proportional to 4,524, 6,785.99 and 2,213.88 is: 3,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524 : 6,785.99 = 2,213.88 : x
  2. Step 2: Convert to fraction form
    4,524/6,785.99 = 2,213.88/x
  3. Step 3: Cross multiply
    4,524x = 6,785.99 × 2,213.88
  4. Step 4: Simplify right side
    4,524x = 15,023,367.54
  5. Step 5: Solve for x
    x = 15,023,367.54/4,524
  6. Step 6: Final answer
    x = 3,320.82

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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.