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Finding the Fourth Proportional to 3,532.80, 5,299.44 and 1,193.13

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Solution

The fourth proportional to 3,532.80, 5,299.44 and 1,193.13 is: 1,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.80 : 5,299.44 = 1,193.13 : x
  2. Step 2: Convert to fraction form
    3,532.80/5,299.44 = 1,193.13/x
  3. Step 3: Cross multiply
    3,532.80x = 5,299.44 × 1,193.13
  4. Step 4: Simplify right side
    3,532.80x = 6,322,920.85
  5. Step 5: Solve for x
    x = 6,322,920.85/3,532.80
  6. Step 6: Final answer
    x = 1,789.78

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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.