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Finding the Fourth Proportional to 3,794.41, 5,691.89 and 1,197.28

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Solution

The fourth proportional to 3,794.41, 5,691.89 and 1,197.28 is: 1,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.41 : 5,691.89 = 1,197.28 : x
  2. Step 2: Convert to fraction form
    3,794.41/5,691.89 = 1,197.28/x
  3. Step 3: Cross multiply
    3,794.41x = 5,691.89 × 1,197.28
  4. Step 4: Simplify right side
    3,794.41x = 6,814,796.17
  5. Step 5: Solve for x
    x = 6,814,796.17/3,794.41
  6. Step 6: Final answer
    x = 1,796.01

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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.