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Finding the Fourth Proportional to 4,882.83, 6,738.34 and 2,644.73

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Solution

The fourth proportional to 4,882.83, 6,738.34 and 2,644.73 is: 3,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.83 : 6,738.34 = 2,644.73 : x
  2. Step 2: Convert to fraction form
    4,882.83/6,738.34 = 2,644.73/x
  3. Step 3: Cross multiply
    4,882.83x = 6,738.34 × 2,644.73
  4. Step 4: Simplify right side
    4,882.83x = 17,821,049.64
  5. Step 5: Solve for x
    x = 17,821,049.64/4,882.83
  6. Step 6: Final answer
    x = 3,649.74

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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.