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Finding the Fourth Proportional to 3,811.20, 5,708.70 and 3,163.20

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Solution

The fourth proportional to 3,811.20, 5,708.70 and 3,163.20 is: 4,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.20 : 5,708.70 = 3,163.20 : x
  2. Step 2: Convert to fraction form
    3,811.20/5,708.70 = 3,163.20/x
  3. Step 3: Cross multiply
    3,811.20x = 5,708.70 × 3,163.20
  4. Step 4: Simplify right side
    3,811.20x = 18,057,759.84
  5. Step 5: Solve for x
    x = 18,057,759.84/3,811.20
  6. Step 6: Final answer
    x = 4,738.08

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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.