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Finding the Fourth Proportional to 3,986.26, 5,977.14 and 1,906.77

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Solution

The fourth proportional to 3,986.26, 5,977.14 and 1,906.77 is: 2,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.26 : 5,977.14 = 1,906.77 : x
  2. Step 2: Convert to fraction form
    3,986.26/5,977.14 = 1,906.77/x
  3. Step 3: Cross multiply
    3,986.26x = 5,977.14 × 1,906.77
  4. Step 4: Simplify right side
    3,986.26x = 11,397,001.35
  5. Step 5: Solve for x
    x = 11,397,001.35/3,986.26
  6. Step 6: Final answer
    x = 2,859.07

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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.