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Finding the Fourth Proportional to 3,797.88, 5,697.83 and 1,200.82

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Solution

The fourth proportional to 3,797.88, 5,697.83 and 1,200.82 is: 1,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.88 : 5,697.83 = 1,200.82 : x
  2. Step 2: Convert to fraction form
    3,797.88/5,697.83 = 1,200.82/x
  3. Step 3: Cross multiply
    3,797.88x = 5,697.83 × 1,200.82
  4. Step 4: Simplify right side
    3,797.88x = 6,842,033.73
  5. Step 5: Solve for x
    x = 6,842,033.73/3,797.88
  6. Step 6: Final answer
    x = 1,801.54

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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.