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Finding the Fourth Proportional to 5,850.80, 8,074.23 and 3,198.21

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Solution

The fourth proportional to 5,850.80, 8,074.23 and 3,198.21 is: 4,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.80 : 8,074.23 = 3,198.21 : x
  2. Step 2: Convert to fraction form
    5,850.80/8,074.23 = 3,198.21/x
  3. Step 3: Cross multiply
    5,850.80x = 8,074.23 × 3,198.21
  4. Step 4: Simplify right side
    5,850.80x = 25,823,083.13
  5. Step 5: Solve for x
    x = 25,823,083.13/5,850.80
  6. Step 6: Final answer
    x = 4,413.60

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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.