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Finding the Fourth Proportional to 5,067.90, 6,991.28 and 3,178.54

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Solution

The fourth proportional to 5,067.90, 6,991.28 and 3,178.54 is: 4,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.90 : 6,991.28 = 3,178.54 : x
  2. Step 2: Convert to fraction form
    5,067.90/6,991.28 = 3,178.54/x
  3. Step 3: Cross multiply
    5,067.90x = 6,991.28 × 3,178.54
  4. Step 4: Simplify right side
    5,067.90x = 22,222,067.90
  5. Step 5: Solve for x
    x = 22,222,067.90/5,067.90
  6. Step 6: Final answer
    x = 4,384.87

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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.