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Finding the Fourth Proportional to 4,163.88, 5,744.16 and 3,042.96

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Solution

The fourth proportional to 4,163.88, 5,744.16 and 3,042.96 is: 4,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.88 : 5,744.16 = 3,042.96 : x
  2. Step 2: Convert to fraction form
    4,163.88/5,744.16 = 3,042.96/x
  3. Step 3: Cross multiply
    4,163.88x = 5,744.16 × 3,042.96
  4. Step 4: Simplify right side
    4,163.88x = 17,479,249.11
  5. Step 5: Solve for x
    x = 17,479,249.11/4,163.88
  6. Step 6: Final answer
    x = 4,197.83

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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.