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Finding the Fourth Proportional to 3,532.67, 5,299.02 and 1,067.48

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Solution

The fourth proportional to 3,532.67, 5,299.02 and 1,067.48 is: 1,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.67 : 5,299.02 = 1,067.48 : x
  2. Step 2: Convert to fraction form
    3,532.67/5,299.02 = 1,067.48/x
  3. Step 3: Cross multiply
    3,532.67x = 5,299.02 × 1,067.48
  4. Step 4: Simplify right side
    3,532.67x = 5,656,571.37
  5. Step 5: Solve for x
    x = 5,656,571.37/3,532.67
  6. Step 6: Final answer
    x = 1,601.22

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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.