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Finding the Fourth Proportional to 4,163.44, 5,745.12 and 2,394.70

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Solution

The fourth proportional to 4,163.44, 5,745.12 and 2,394.70 is: 3,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.44 : 5,745.12 = 2,394.70 : x
  2. Step 2: Convert to fraction form
    4,163.44/5,745.12 = 2,394.70/x
  3. Step 3: Cross multiply
    4,163.44x = 5,745.12 × 2,394.70
  4. Step 4: Simplify right side
    4,163.44x = 13,757,838.86
  5. Step 5: Solve for x
    x = 13,757,838.86/4,163.44
  6. Step 6: Final answer
    x = 3,304.44

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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.