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Finding the Fourth Proportional to 3,493.92, 5,239.24 and 2,033.48

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Solution

The fourth proportional to 3,493.92, 5,239.24 and 2,033.48 is: 3,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.92 : 5,239.24 = 2,033.48 : x
  2. Step 2: Convert to fraction form
    3,493.92/5,239.24 = 2,033.48/x
  3. Step 3: Cross multiply
    3,493.92x = 5,239.24 × 2,033.48
  4. Step 4: Simplify right side
    3,493.92x = 10,653,889.76
  5. Step 5: Solve for x
    x = 10,653,889.76/3,493.92
  6. Step 6: Final answer
    x = 3,049.27

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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.