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Finding the Fourth Proportional to 5,207.24, 7,186 and 2,849.38

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Solution

The fourth proportional to 5,207.24, 7,186 and 2,849.38 is: 3,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.24 : 7,186 = 2,849.38 : x
  2. Step 2: Convert to fraction form
    5,207.24/7,186 = 2,849.38/x
  3. Step 3: Cross multiply
    5,207.24x = 7,186 × 2,849.38
  4. Step 4: Simplify right side
    5,207.24x = 20,475,644.68
  5. Step 5: Solve for x
    x = 20,475,644.68/5,207.24
  6. Step 6: Final answer
    x = 3,932.15

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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.