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Finding the Fourth Proportional to 4,163.32, 5,745.17 and 2,274.89

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Solution

The fourth proportional to 4,163.32, 5,745.17 and 2,274.89 is: 3,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.32 : 5,745.17 = 2,274.89 : x
  2. Step 2: Convert to fraction form
    4,163.32/5,745.17 = 2,274.89/x
  3. Step 3: Cross multiply
    4,163.32x = 5,745.17 × 2,274.89
  4. Step 4: Simplify right side
    4,163.32x = 13,069,600.69
  5. Step 5: Solve for x
    x = 13,069,600.69/4,163.32
  6. Step 6: Final answer
    x = 3,139.23

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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.