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Finding the Fourth Proportional to 4,974.39, 6,864.07 and 2,849.79

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Solution

The fourth proportional to 4,974.39, 6,864.07 and 2,849.79 is: 3,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.39 : 6,864.07 = 2,849.79 : x
  2. Step 2: Convert to fraction form
    4,974.39/6,864.07 = 2,849.79/x
  3. Step 3: Cross multiply
    4,974.39x = 6,864.07 × 2,849.79
  4. Step 4: Simplify right side
    4,974.39x = 19,561,154.68
  5. Step 5: Solve for x
    x = 19,561,154.68/4,974.39
  6. Step 6: Final answer
    x = 3,932.37

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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.