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Finding the Fourth Proportional to 5,850.82, 8,074.02 and 3,198.22

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Solution

The fourth proportional to 5,850.82, 8,074.02 and 3,198.22 is: 4,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.82 : 8,074.02 = 3,198.22 : x
  2. Step 2: Convert to fraction form
    5,850.82/8,074.02 = 3,198.22/x
  3. Step 3: Cross multiply
    5,850.82x = 8,074.02 × 3,198.22
  4. Step 4: Simplify right side
    5,850.82x = 25,822,492.24
  5. Step 5: Solve for x
    x = 25,822,492.24/5,850.82
  6. Step 6: Final answer
    x = 4,413.48

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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.