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Finding the Fourth Proportional to 5,845.43, 8,771.98 and 2,147.69

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Solution

The fourth proportional to 5,845.43, 8,771.98 and 2,147.69 is: 3,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.43 : 8,771.98 = 2,147.69 : x
  2. Step 2: Convert to fraction form
    5,845.43/8,771.98 = 2,147.69/x
  3. Step 3: Cross multiply
    5,845.43x = 8,771.98 × 2,147.69
  4. Step 4: Simplify right side
    5,845.43x = 18,839,493.73
  5. Step 5: Solve for x
    x = 18,839,493.73/5,845.43
  6. Step 6: Final answer
    x = 3,222.94

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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.