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Finding the Fourth Proportional to 5,715.66, 7,887.96 and 3,197.79

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Solution

The fourth proportional to 5,715.66, 7,887.96 and 3,197.79 is: 4,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.66 : 7,887.96 = 3,197.79 : x
  2. Step 2: Convert to fraction form
    5,715.66/7,887.96 = 3,197.79/x
  3. Step 3: Cross multiply
    5,715.66x = 7,887.96 × 3,197.79
  4. Step 4: Simplify right side
    5,715.66x = 25,223,984.18
  5. Step 5: Solve for x
    x = 25,223,984.18/5,715.66
  6. Step 6: Final answer
    x = 4,413.14

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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.