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Finding the Fourth Proportional to 3,461.73, 5,191.82 and 996

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Solution

The fourth proportional to 3,461.73, 5,191.82 and 996 is: 1,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.73 : 5,191.82 = 996 : x
  2. Step 2: Convert to fraction form
    3,461.73/5,191.82 = 996/x
  3. Step 3: Cross multiply
    3,461.73x = 5,191.82 × 996
  4. Step 4: Simplify right side
    3,461.73x = 5,171,052.72
  5. Step 5: Solve for x
    x = 5,171,052.72/3,461.73
  6. Step 6: Final answer
    x = 1,493.78

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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.