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Finding the Fourth Proportional to 4,822.92, 7,234.32 and 2,225.88

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Solution

The fourth proportional to 4,822.92, 7,234.32 and 2,225.88 is: 3,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.92 : 7,234.32 = 2,225.88 : x
  2. Step 2: Convert to fraction form
    4,822.92/7,234.32 = 2,225.88/x
  3. Step 3: Cross multiply
    4,822.92x = 7,234.32 × 2,225.88
  4. Step 4: Simplify right side
    4,822.92x = 16,102,728.20
  5. Step 5: Solve for x
    x = 16,102,728.20/4,822.92
  6. Step 6: Final answer
    x = 3,338.79

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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.