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Finding the Fourth Proportional to 4,882.71, 6,738.13 and 2,644.58

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Solution

The fourth proportional to 4,882.71, 6,738.13 and 2,644.58 is: 3,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.71 : 6,738.13 = 2,644.58 : x
  2. Step 2: Convert to fraction form
    4,882.71/6,738.13 = 2,644.58/x
  3. Step 3: Cross multiply
    4,882.71x = 6,738.13 × 2,644.58
  4. Step 4: Simplify right side
    4,882.71x = 17,819,550.60
  5. Step 5: Solve for x
    x = 17,819,550.60/4,882.71
  6. Step 6: Final answer
    x = 3,649.52

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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.