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Finding the Fourth Proportional to 5,192.92, 7,163.61 and 3,423.88

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Solution

The fourth proportional to 5,192.92, 7,163.61 and 3,423.88 is: 4,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.92 : 7,163.61 = 3,423.88 : x
  2. Step 2: Convert to fraction form
    5,192.92/7,163.61 = 3,423.88/x
  3. Step 3: Cross multiply
    5,192.92x = 7,163.61 × 3,423.88
  4. Step 4: Simplify right side
    5,192.92x = 24,527,341.01
  5. Step 5: Solve for x
    x = 24,527,341.01/5,192.92
  6. Step 6: Final answer
    x = 4,723.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.