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Finding the Fourth Proportional to 5,940.46, 8,191.83 and 3,581.20

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Solution

The fourth proportional to 5,940.46, 8,191.83 and 3,581.20 is: 4,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.46 : 8,191.83 = 3,581.20 : x
  2. Step 2: Convert to fraction form
    5,940.46/8,191.83 = 3,581.20/x
  3. Step 3: Cross multiply
    5,940.46x = 8,191.83 × 3,581.20
  4. Step 4: Simplify right side
    5,940.46x = 29,336,581.60
  5. Step 5: Solve for x
    x = 29,336,581.60/5,940.46
  6. Step 6: Final answer
    x = 4,938.44

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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.