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Finding the Fourth Proportional to 3,229.46, 4,843.73 and 1,037.90

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Solution

The fourth proportional to 3,229.46, 4,843.73 and 1,037.90 is: 1,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.46 : 4,843.73 = 1,037.90 : x
  2. Step 2: Convert to fraction form
    3,229.46/4,843.73 = 1,037.90/x
  3. Step 3: Cross multiply
    3,229.46x = 4,843.73 × 1,037.90
  4. Step 4: Simplify right side
    3,229.46x = 5,027,277.96
  5. Step 5: Solve for x
    x = 5,027,277.96/3,229.46
  6. Step 6: Final answer
    x = 1,556.70

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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.