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Finding the Fourth Proportional to 3,532.56, 5,299.80 and 1,224.24

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Solution

The fourth proportional to 3,532.56, 5,299.80 and 1,224.24 is: 1,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.56 : 5,299.80 = 1,224.24 : x
  2. Step 2: Convert to fraction form
    3,532.56/5,299.80 = 1,224.24/x
  3. Step 3: Cross multiply
    3,532.56x = 5,299.80 × 1,224.24
  4. Step 4: Simplify right side
    3,532.56x = 6,488,227.15
  5. Step 5: Solve for x
    x = 6,488,227.15/3,532.56
  6. Step 6: Final answer
    x = 1,836.69

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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.