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Finding the Fourth Proportional to 3,911.94, 5,394.24 and 3,198.42

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Solution

The fourth proportional to 3,911.94, 5,394.24 and 3,198.42 is: 4,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.94 : 5,394.24 = 3,198.42 : x
  2. Step 2: Convert to fraction form
    3,911.94/5,394.24 = 3,198.42/x
  3. Step 3: Cross multiply
    3,911.94x = 5,394.24 × 3,198.42
  4. Step 4: Simplify right side
    3,911.94x = 17,253,045.10
  5. Step 5: Solve for x
    x = 17,253,045.10/3,911.94
  6. Step 6: Final answer
    x = 4,410.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.