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Finding the Fourth Proportional to 3,629.41, 5,008.68 and 2,057.49

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Solution

The fourth proportional to 3,629.41, 5,008.68 and 2,057.49 is: 2,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.41 : 5,008.68 = 2,057.49 : x
  2. Step 2: Convert to fraction form
    3,629.41/5,008.68 = 2,057.49/x
  3. Step 3: Cross multiply
    3,629.41x = 5,008.68 × 2,057.49
  4. Step 4: Simplify right side
    3,629.41x = 10,305,309.01
  5. Step 5: Solve for x
    x = 10,305,309.01/3,629.41
  6. Step 6: Final answer
    x = 2,839.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.