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Finding the Fourth Proportional to 5,738.28, 7,919.24 and 3,220.64

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Solution

The fourth proportional to 5,738.28, 7,919.24 and 3,220.64 is: 4,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.28 : 7,919.24 = 3,220.64 : x
  2. Step 2: Convert to fraction form
    5,738.28/7,919.24 = 3,220.64/x
  3. Step 3: Cross multiply
    5,738.28x = 7,919.24 × 3,220.64
  4. Step 4: Simplify right side
    5,738.28x = 25,504,965.41
  5. Step 5: Solve for x
    x = 25,504,965.41/5,738.28
  6. Step 6: Final answer
    x = 4,444.71

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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.