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Finding the Fourth Proportional to 4,163.60, 5,745.78 and 2,275.17

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Solution

The fourth proportional to 4,163.60, 5,745.78 and 2,275.17 is: 3,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.60 : 5,745.78 = 2,275.17 : x
  2. Step 2: Convert to fraction form
    4,163.60/5,745.78 = 2,275.17/x
  3. Step 3: Cross multiply
    4,163.60x = 5,745.78 × 2,275.17
  4. Step 4: Simplify right side
    4,163.60x = 13,072,651.15
  5. Step 5: Solve for x
    x = 13,072,651.15/4,163.60
  6. Step 6: Final answer
    x = 3,139.75

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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.