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Finding the Fourth Proportional to 5,214.44, 7,195.22 and 3,198.74

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Solution

The fourth proportional to 5,214.44, 7,195.22 and 3,198.74 is: 4,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.44 : 7,195.22 = 3,198.74 : x
  2. Step 2: Convert to fraction form
    5,214.44/7,195.22 = 3,198.74/x
  3. Step 3: Cross multiply
    5,214.44x = 7,195.22 × 3,198.74
  4. Step 4: Simplify right side
    5,214.44x = 23,015,638.02
  5. Step 5: Solve for x
    x = 23,015,638.02/5,214.44
  6. Step 6: Final answer
    x = 4,413.83

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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.