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Finding the Fourth Proportional to 3,846.68, 5,760.77 and 2,198.23

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Solution

The fourth proportional to 3,846.68, 5,760.77 and 2,198.23 is: 3,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.68 : 5,760.77 = 2,198.23 : x
  2. Step 2: Convert to fraction form
    3,846.68/5,760.77 = 2,198.23/x
  3. Step 3: Cross multiply
    3,846.68x = 5,760.77 × 2,198.23
  4. Step 4: Simplify right side
    3,846.68x = 12,663,497.44
  5. Step 5: Solve for x
    x = 12,663,497.44/3,846.68
  6. Step 6: Final answer
    x = 3,292.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.