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Finding the Fourth Proportional to 5,969.38, 8,954.07 and 2,073.82

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Solution

The fourth proportional to 5,969.38, 8,954.07 and 2,073.82 is: 3,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.38 : 8,954.07 = 2,073.82 : x
  2. Step 2: Convert to fraction form
    5,969.38/8,954.07 = 2,073.82/x
  3. Step 3: Cross multiply
    5,969.38x = 8,954.07 × 2,073.82
  4. Step 4: Simplify right side
    5,969.38x = 18,569,107.06
  5. Step 5: Solve for x
    x = 18,569,107.06/5,969.38
  6. Step 6: Final answer
    x = 3,110.73

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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.