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Finding the Fourth Proportional to 5,960.79, 8,226.16 and 4,192.97

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Solution

The fourth proportional to 5,960.79, 8,226.16 and 4,192.97 is: 5,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.79 : 8,226.16 = 4,192.97 : x
  2. Step 2: Convert to fraction form
    5,960.79/8,226.16 = 4,192.97/x
  3. Step 3: Cross multiply
    5,960.79x = 8,226.16 × 4,192.97
  4. Step 4: Simplify right side
    5,960.79x = 34,491,990.48
  5. Step 5: Solve for x
    x = 34,491,990.48/5,960.79
  6. Step 6: Final answer
    x = 5,786.48

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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.