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Finding the Fourth Proportional to 5,254.67, 7,251.97 and 2,896.82

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Solution

The fourth proportional to 5,254.67, 7,251.97 and 2,896.82 is: 3,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.67 : 7,251.97 = 2,896.82 : x
  2. Step 2: Convert to fraction form
    5,254.67/7,251.97 = 2,896.82/x
  3. Step 3: Cross multiply
    5,254.67x = 7,251.97 × 2,896.82
  4. Step 4: Simplify right side
    5,254.67x = 21,007,608.23
  5. Step 5: Solve for x
    x = 21,007,608.23/5,254.67
  6. Step 6: Final answer
    x = 3,997.89

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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.