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Finding the Fourth Proportional to 5,961.75, 8,224.38 and 4,194.33

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Solution

The fourth proportional to 5,961.75, 8,224.38 and 4,194.33 is: 5,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.75 : 8,224.38 = 4,194.33 : x
  2. Step 2: Convert to fraction form
    5,961.75/8,224.38 = 4,194.33/x
  3. Step 3: Cross multiply
    5,961.75x = 8,224.38 × 4,194.33
  4. Step 4: Simplify right side
    5,961.75x = 34,495,763.77
  5. Step 5: Solve for x
    x = 34,495,763.77/5,961.75
  6. Step 6: Final answer
    x = 5,786.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.