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Finding the Fourth Proportional to 4,882.67, 6,738.06 and 2,644.55

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Solution

The fourth proportional to 4,882.67, 6,738.06 and 2,644.55 is: 3,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.67 : 6,738.06 = 2,644.55 : x
  2. Step 2: Convert to fraction form
    4,882.67/6,738.06 = 2,644.55/x
  3. Step 3: Cross multiply
    4,882.67x = 6,738.06 × 2,644.55
  4. Step 4: Simplify right side
    4,882.67x = 17,819,138.07
  5. Step 5: Solve for x
    x = 17,819,138.07/4,882.67
  6. Step 6: Final answer
    x = 3,649.47

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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.