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Finding the Fourth Proportional to 5,337.92, 8,005.97 and 2,049.32

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Solution

The fourth proportional to 5,337.92, 8,005.97 and 2,049.32 is: 3,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.92 : 8,005.97 = 2,049.32 : x
  2. Step 2: Convert to fraction form
    5,337.92/8,005.97 = 2,049.32/x
  3. Step 3: Cross multiply
    5,337.92x = 8,005.97 × 2,049.32
  4. Step 4: Simplify right side
    5,337.92x = 16,406,819.58
  5. Step 5: Solve for x
    x = 16,406,819.58/5,337.92
  6. Step 6: Final answer
    x = 3,073.63

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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.