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Finding the Fourth Proportional to 3,531.52, 5,299.68 and 1,223

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Solution

The fourth proportional to 3,531.52, 5,299.68 and 1,223 is: 1,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.52 : 5,299.68 = 1,223 : x
  2. Step 2: Convert to fraction form
    3,531.52/5,299.68 = 1,223/x
  3. Step 3: Cross multiply
    3,531.52x = 5,299.68 × 1,223
  4. Step 4: Simplify right side
    3,531.52x = 6,481,508.64
  5. Step 5: Solve for x
    x = 6,481,508.64/3,531.52
  6. Step 6: Final answer
    x = 1,835.33

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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.