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Finding the Fourth Proportional to 5,742.75, 7,924.41 and 3,224.73

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Solution

The fourth proportional to 5,742.75, 7,924.41 and 3,224.73 is: 4,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.75 : 7,924.41 = 3,224.73 : x
  2. Step 2: Convert to fraction form
    5,742.75/7,924.41 = 3,224.73/x
  3. Step 3: Cross multiply
    5,742.75x = 7,924.41 × 3,224.73
  4. Step 4: Simplify right side
    5,742.75x = 25,554,082.66
  5. Step 5: Solve for x
    x = 25,554,082.66/5,742.75
  6. Step 6: Final answer
    x = 4,449.80

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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.