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Finding the Fourth Proportional to 5,939.86, 8,911.84 and 2,243.14

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Solution

The fourth proportional to 5,939.86, 8,911.84 and 2,243.14 is: 3,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.86 : 8,911.84 = 2,243.14 : x
  2. Step 2: Convert to fraction form
    5,939.86/8,911.84 = 2,243.14/x
  3. Step 3: Cross multiply
    5,939.86x = 8,911.84 × 2,243.14
  4. Step 4: Simplify right side
    5,939.86x = 19,990,504.78
  5. Step 5: Solve for x
    x = 19,990,504.78/5,939.86
  6. Step 6: Final answer
    x = 3,365.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.