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Finding the Fourth Proportional to 5,191.92, 7,162.78 and 3,199.02

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Solution

The fourth proportional to 5,191.92, 7,162.78 and 3,199.02 is: 4,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.92 : 7,162.78 = 3,199.02 : x
  2. Step 2: Convert to fraction form
    5,191.92/7,162.78 = 3,199.02/x
  3. Step 3: Cross multiply
    5,191.92x = 7,162.78 × 3,199.02
  4. Step 4: Simplify right side
    5,191.92x = 22,913,876.48
  5. Step 5: Solve for x
    x = 22,913,876.48/5,191.92
  6. Step 6: Final answer
    x = 4,413.37

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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.