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Finding the Fourth Proportional to 3,629.73, 5,445.07 and 1,163.73

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Solution

The fourth proportional to 3,629.73, 5,445.07 and 1,163.73 is: 1,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.73 : 5,445.07 = 1,163.73 : x
  2. Step 2: Convert to fraction form
    3,629.73/5,445.07 = 1,163.73/x
  3. Step 3: Cross multiply
    3,629.73x = 5,445.07 × 1,163.73
  4. Step 4: Simplify right side
    3,629.73x = 6,336,591.31
  5. Step 5: Solve for x
    x = 6,336,591.31/3,629.73
  6. Step 6: Final answer
    x = 1,745.75

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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.