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Finding the Fourth Proportional to 6,067.28, 8,374.28 and 3,858

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Solution

The fourth proportional to 6,067.28, 8,374.28 and 3,858 is: 5,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.28 : 8,374.28 = 3,858 : x
  2. Step 2: Convert to fraction form
    6,067.28/8,374.28 = 3,858/x
  3. Step 3: Cross multiply
    6,067.28x = 8,374.28 × 3,858
  4. Step 4: Simplify right side
    6,067.28x = 32,307,972.24
  5. Step 5: Solve for x
    x = 32,307,972.24/6,067.28
  6. Step 6: Final answer
    x = 5,324.95

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Why These Related Problems?

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