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Finding the Fourth Proportional to 5,941.29, 8,912.90 and 2,044.78

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Solution

The fourth proportional to 5,941.29, 8,912.90 and 2,044.78 is: 3,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.29 : 8,912.90 = 2,044.78 : x
  2. Step 2: Convert to fraction form
    5,941.29/8,912.90 = 2,044.78/x
  3. Step 3: Cross multiply
    5,941.29x = 8,912.90 × 2,044.78
  4. Step 4: Simplify right side
    5,941.29x = 18,224,919.66
  5. Step 5: Solve for x
    x = 18,224,919.66/5,941.29
  6. Step 6: Final answer
    x = 3,067.50

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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.