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Finding the Fourth Proportional to 4,882.72, 6,738.10 and 2,644.54

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Solution

The fourth proportional to 4,882.72, 6,738.10 and 2,644.54 is: 3,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.72 : 6,738.10 = 2,644.54 : x
  2. Step 2: Convert to fraction form
    4,882.72/6,738.10 = 2,644.54/x
  3. Step 3: Cross multiply
    4,882.72x = 6,738.10 × 2,644.54
  4. Step 4: Simplify right side
    4,882.72x = 17,819,174.97
  5. Step 5: Solve for x
    x = 17,819,174.97/4,882.72
  6. Step 6: Final answer
    x = 3,649.44

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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.