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Finding the Fourth Proportional to 3,893.22, 5,834.97 and 1,945.98

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Solution

The fourth proportional to 3,893.22, 5,834.97 and 1,945.98 is: 2,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.22 : 5,834.97 = 1,945.98 : x
  2. Step 2: Convert to fraction form
    3,893.22/5,834.97 = 1,945.98/x
  3. Step 3: Cross multiply
    3,893.22x = 5,834.97 × 1,945.98
  4. Step 4: Simplify right side
    3,893.22x = 11,354,734.92
  5. Step 5: Solve for x
    x = 11,354,734.92/3,893.22
  6. Step 6: Final answer
    x = 2,916.54

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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.