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Finding the Fourth Proportional to 5,647.28, 7,792.20 and 3,163.28

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Solution

The fourth proportional to 5,647.28, 7,792.20 and 3,163.28 is: 4,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.28 : 7,792.20 = 3,163.28 : x
  2. Step 2: Convert to fraction form
    5,647.28/7,792.20 = 3,163.28/x
  3. Step 3: Cross multiply
    5,647.28x = 7,792.20 × 3,163.28
  4. Step 4: Simplify right side
    5,647.28x = 24,648,910.42
  5. Step 5: Solve for x
    x = 24,648,910.42/5,647.28
  6. Step 6: Final answer
    x = 4,364.74

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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.