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Finding the Fourth Proportional to 3,796.28, 5,693.58 and 1,198.76

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Solution

The fourth proportional to 3,796.28, 5,693.58 and 1,198.76 is: 1,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.28 : 5,693.58 = 1,198.76 : x
  2. Step 2: Convert to fraction form
    3,796.28/5,693.58 = 1,198.76/x
  3. Step 3: Cross multiply
    3,796.28x = 5,693.58 × 1,198.76
  4. Step 4: Simplify right side
    3,796.28x = 6,825,235.96
  5. Step 5: Solve for x
    x = 6,825,235.96/3,796.28
  6. Step 6: Final answer
    x = 1,797.87

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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.