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Finding the Fourth Proportional to 4,067.16, 6,105.78 and 4,048.44

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Solution

The fourth proportional to 4,067.16, 6,105.78 and 4,048.44 is: 6,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.16 : 6,105.78 = 4,048.44 : x
  2. Step 2: Convert to fraction form
    4,067.16/6,105.78 = 4,048.44/x
  3. Step 3: Cross multiply
    4,067.16x = 6,105.78 × 4,048.44
  4. Step 4: Simplify right side
    4,067.16x = 24,718,883.98
  5. Step 5: Solve for x
    x = 24,718,883.98/4,067.16
  6. Step 6: Final answer
    x = 6,077.68

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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.