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Finding the Fourth Proportional to 3,474, 5,206.68 and 1,524.24

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Solution

The fourth proportional to 3,474, 5,206.68 and 1,524.24 is: 2,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474 : 5,206.68 = 1,524.24 : x
  2. Step 2: Convert to fraction form
    3,474/5,206.68 = 1,524.24/x
  3. Step 3: Cross multiply
    3,474x = 5,206.68 × 1,524.24
  4. Step 4: Simplify right side
    3,474x = 7,936,229.92
  5. Step 5: Solve for x
    x = 7,936,229.92/3,474
  6. Step 6: Final answer
    x = 2,284.46

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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.