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Finding the Fourth Proportional to 5,986.97, 8,984.56 and 2,091.38

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Solution

The fourth proportional to 5,986.97, 8,984.56 and 2,091.38 is: 3,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.97 : 8,984.56 = 2,091.38 : x
  2. Step 2: Convert to fraction form
    5,986.97/8,984.56 = 2,091.38/x
  3. Step 3: Cross multiply
    5,986.97x = 8,984.56 × 2,091.38
  4. Step 4: Simplify right side
    5,986.97x = 18,790,129.09
  5. Step 5: Solve for x
    x = 18,790,129.09/5,986.97
  6. Step 6: Final answer
    x = 3,138.50

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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.