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Finding the Fourth Proportional to 3,896.94, 5,847.12 and 2,047.62

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Solution

The fourth proportional to 3,896.94, 5,847.12 and 2,047.62 is: 3,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.94 : 5,847.12 = 2,047.62 : x
  2. Step 2: Convert to fraction form
    3,896.94/5,847.12 = 2,047.62/x
  3. Step 3: Cross multiply
    3,896.94x = 5,847.12 × 2,047.62
  4. Step 4: Simplify right side
    3,896.94x = 11,972,679.85
  5. Step 5: Solve for x
    x = 11,972,679.85/3,896.94
  6. Step 6: Final answer
    x = 3,072.33

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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.