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Finding the Fourth Proportional to 3,662.48, 5,494.54 and 1,163.81

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Solution

The fourth proportional to 3,662.48, 5,494.54 and 1,163.81 is: 1,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.48 : 5,494.54 = 1,163.81 : x
  2. Step 2: Convert to fraction form
    3,662.48/5,494.54 = 1,163.81/x
  3. Step 3: Cross multiply
    3,662.48x = 5,494.54 × 1,163.81
  4. Step 4: Simplify right side
    3,662.48x = 6,394,583.95
  5. Step 5: Solve for x
    x = 6,394,583.95/3,662.48
  6. Step 6: Final answer
    x = 1,745.97

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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.