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Finding the Fourth Proportional to 3,200.83, 4,793.19 and 2,027.28

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Solution

The fourth proportional to 3,200.83, 4,793.19 and 2,027.28 is: 3,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.83 : 4,793.19 = 2,027.28 : x
  2. Step 2: Convert to fraction form
    3,200.83/4,793.19 = 2,027.28/x
  3. Step 3: Cross multiply
    3,200.83x = 4,793.19 × 2,027.28
  4. Step 4: Simplify right side
    3,200.83x = 9,717,138.22
  5. Step 5: Solve for x
    x = 9,717,138.22/3,200.83
  6. Step 6: Final answer
    x = 3,035.82

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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.