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Finding the Fourth Proportional to 3,500.52, 5,251.56 and 1,192

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Solution

The fourth proportional to 3,500.52, 5,251.56 and 1,192 is: 1,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.52 : 5,251.56 = 1,192 : x
  2. Step 2: Convert to fraction form
    3,500.52/5,251.56 = 1,192/x
  3. Step 3: Cross multiply
    3,500.52x = 5,251.56 × 1,192
  4. Step 4: Simplify right side
    3,500.52x = 6,259,859.52
  5. Step 5: Solve for x
    x = 6,259,859.52/3,500.52
  6. Step 6: Final answer
    x = 1,788.27

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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.