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Finding the Fourth Proportional to 5,323.43, 7,984.11 and 2,035.76

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Solution

The fourth proportional to 5,323.43, 7,984.11 and 2,035.76 is: 3,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.43 : 7,984.11 = 2,035.76 : x
  2. Step 2: Convert to fraction form
    5,323.43/7,984.11 = 2,035.76/x
  3. Step 3: Cross multiply
    5,323.43x = 7,984.11 × 2,035.76
  4. Step 4: Simplify right side
    5,323.43x = 16,253,691.85
  5. Step 5: Solve for x
    x = 16,253,691.85/5,323.43
  6. Step 6: Final answer
    x = 3,053.24

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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.