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Finding the Fourth Proportional to 4,882.74, 6,738.15 and 2,644.56

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Solution

The fourth proportional to 4,882.74, 6,738.15 and 2,644.56 is: 3,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.74 : 6,738.15 = 2,644.56 : x
  2. Step 2: Convert to fraction form
    4,882.74/6,738.15 = 2,644.56/x
  3. Step 3: Cross multiply
    4,882.74x = 6,738.15 × 2,644.56
  4. Step 4: Simplify right side
    4,882.74x = 17,819,428.74
  5. Step 5: Solve for x
    x = 17,819,428.74/4,882.74
  6. Step 6: Final answer
    x = 3,649.48

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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.