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Finding the Fourth Proportional to 3,939.34, 5,434.38 and 2,449

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Solution

The fourth proportional to 3,939.34, 5,434.38 and 2,449 is: 3,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.34 : 5,434.38 = 2,449 : x
  2. Step 2: Convert to fraction form
    3,939.34/5,434.38 = 2,449/x
  3. Step 3: Cross multiply
    3,939.34x = 5,434.38 × 2,449
  4. Step 4: Simplify right side
    3,939.34x = 13,308,796.62
  5. Step 5: Solve for x
    x = 13,308,796.62/3,939.34
  6. Step 6: Final answer
    x = 3,378.43

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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.