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Finding the Fourth Proportional to 5,715.78, 7,887.83 and 3,198.03

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Solution

The fourth proportional to 5,715.78, 7,887.83 and 3,198.03 is: 4,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.78 : 7,887.83 = 3,198.03 : x
  2. Step 2: Convert to fraction form
    5,715.78/7,887.83 = 3,198.03/x
  3. Step 3: Cross multiply
    5,715.78x = 7,887.83 × 3,198.03
  4. Step 4: Simplify right side
    5,715.78x = 25,225,500.98
  5. Step 5: Solve for x
    x = 25,225,500.98/5,715.78
  6. Step 6: Final answer
    x = 4,413.31

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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.