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Finding the Fourth Proportional to 4,825.97, 7,241.69 and 2,744.67

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Solution

The fourth proportional to 4,825.97, 7,241.69 and 2,744.67 is: 4,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.97 : 7,241.69 = 2,744.67 : x
  2. Step 2: Convert to fraction form
    4,825.97/7,241.69 = 2,744.67/x
  3. Step 3: Cross multiply
    4,825.97x = 7,241.69 × 2,744.67
  4. Step 4: Simplify right side
    4,825.97x = 19,876,049.29
  5. Step 5: Solve for x
    x = 19,876,049.29/4,825.97
  6. Step 6: Final answer
    x = 4,118.56

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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.