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Finding the Fourth Proportional to 5,744.94, 7,928.78 and 3,227.28

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Solution

The fourth proportional to 5,744.94, 7,928.78 and 3,227.28 is: 4,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.94 : 7,928.78 = 3,227.28 : x
  2. Step 2: Convert to fraction form
    5,744.94/7,928.78 = 3,227.28/x
  3. Step 3: Cross multiply
    5,744.94x = 7,928.78 × 3,227.28
  4. Step 4: Simplify right side
    5,744.94x = 25,588,393.12
  5. Step 5: Solve for x
    x = 25,588,393.12/5,744.94
  6. Step 6: Final answer
    x = 4,454.07

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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.