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Finding the Fourth Proportional to 3,536.92, 4,883.82 and 3,163.24

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Solution

The fourth proportional to 3,536.92, 4,883.82 and 3,163.24 is: 4,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.92 : 4,883.82 = 3,163.24 : x
  2. Step 2: Convert to fraction form
    3,536.92/4,883.82 = 3,163.24/x
  3. Step 3: Cross multiply
    3,536.92x = 4,883.82 × 3,163.24
  4. Step 4: Simplify right side
    3,536.92x = 15,448,694.78
  5. Step 5: Solve for x
    x = 15,448,694.78/3,536.92
  6. Step 6: Final answer
    x = 4,367.84

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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.