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Finding the Fourth Proportional to 4,876.51, 6,727.77 and 3,198.85

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Solution

The fourth proportional to 4,876.51, 6,727.77 and 3,198.85 is: 4,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.51 : 6,727.77 = 3,198.85 : x
  2. Step 2: Convert to fraction form
    4,876.51/6,727.77 = 3,198.85/x
  3. Step 3: Cross multiply
    4,876.51x = 6,727.77 × 3,198.85
  4. Step 4: Simplify right side
    4,876.51x = 21,521,077.43
  5. Step 5: Solve for x
    x = 21,521,077.43/4,876.51
  6. Step 6: Final answer
    x = 4,413.22

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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.