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Finding the Fourth Proportional to 5,197.16, 7,777.22 and 4,163.81

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Solution

The fourth proportional to 5,197.16, 7,777.22 and 4,163.81 is: 6,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.16 : 7,777.22 = 4,163.81 : x
  2. Step 2: Convert to fraction form
    5,197.16/7,777.22 = 4,163.81/x
  3. Step 3: Cross multiply
    5,197.16x = 7,777.22 × 4,163.81
  4. Step 4: Simplify right side
    5,197.16x = 32,382,806.70
  5. Step 5: Solve for x
    x = 32,382,806.70/5,197.16
  6. Step 6: Final answer
    x = 6,230.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.