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Finding the Fourth Proportional to 3,697.92, 5,520.96 and 3,049.92

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Solution

The fourth proportional to 3,697.92, 5,520.96 and 3,049.92 is: 4,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.92 : 5,520.96 = 3,049.92 : x
  2. Step 2: Convert to fraction form
    3,697.92/5,520.96 = 3,049.92/x
  3. Step 3: Cross multiply
    3,697.92x = 5,520.96 × 3,049.92
  4. Step 4: Simplify right side
    3,697.92x = 16,838,486.32
  5. Step 5: Solve for x
    x = 16,838,486.32/3,697.92
  6. Step 6: Final answer
    x = 4,553.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.