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Finding the Fourth Proportional to 5,207.79, 7,186.74 and 2,849.97

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Solution

The fourth proportional to 5,207.79, 7,186.74 and 2,849.97 is: 3,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.79 : 7,186.74 = 2,849.97 : x
  2. Step 2: Convert to fraction form
    5,207.79/7,186.74 = 2,849.97/x
  3. Step 3: Cross multiply
    5,207.79x = 7,186.74 × 2,849.97
  4. Step 4: Simplify right side
    5,207.79x = 20,481,993.40
  5. Step 5: Solve for x
    x = 20,481,993.40/5,207.79
  6. Step 6: Final answer
    x = 3,932.95

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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.