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Finding the Fourth Proportional to 5,715.72, 7,887.78 and 3,197.97

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Solution

The fourth proportional to 5,715.72, 7,887.78 and 3,197.97 is: 4,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.72 : 7,887.78 = 3,197.97 : x
  2. Step 2: Convert to fraction form
    5,715.72/7,887.78 = 3,197.97/x
  3. Step 3: Cross multiply
    5,715.72x = 7,887.78 × 3,197.97
  4. Step 4: Simplify right side
    5,715.72x = 25,224,883.81
  5. Step 5: Solve for x
    x = 25,224,883.81/5,715.72
  6. Step 6: Final answer
    x = 4,413.25

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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.