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Finding the Fourth Proportional to 5,982.72, 8,974.14 and 2,087.22

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Solution

The fourth proportional to 5,982.72, 8,974.14 and 2,087.22 is: 3,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.72 : 8,974.14 = 2,087.22 : x
  2. Step 2: Convert to fraction form
    5,982.72/8,974.14 = 2,087.22/x
  3. Step 3: Cross multiply
    5,982.72x = 8,974.14 × 2,087.22
  4. Step 4: Simplify right side
    5,982.72x = 18,731,004.49
  5. Step 5: Solve for x
    x = 18,731,004.49/5,982.72
  6. Step 6: Final answer
    x = 3,130.85

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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.