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Finding the Fourth Proportional to 6,198.39, 8,550.77 and 4,205.79

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Solution

The fourth proportional to 6,198.39, 8,550.77 and 4,205.79 is: 5,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.39 : 8,550.77 = 4,205.79 : x
  2. Step 2: Convert to fraction form
    6,198.39/8,550.77 = 4,205.79/x
  3. Step 3: Cross multiply
    6,198.39x = 8,550.77 × 4,205.79
  4. Step 4: Simplify right side
    6,198.39x = 35,962,721.93
  5. Step 5: Solve for x
    x = 35,962,721.93/6,198.39
  6. Step 6: Final answer
    x = 5,801.95

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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.