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Finding the Fourth Proportional to 3,461.99, 5,191.77 and 996.15

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Solution

The fourth proportional to 3,461.99, 5,191.77 and 996.15 is: 1,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.99 : 5,191.77 = 996.15 : x
  2. Step 2: Convert to fraction form
    3,461.99/5,191.77 = 996.15/x
  3. Step 3: Cross multiply
    3,461.99x = 5,191.77 × 996.15
  4. Step 4: Simplify right side
    3,461.99x = 5,171,772.88
  5. Step 5: Solve for x
    x = 5,171,772.88/3,461.99
  6. Step 6: Final answer
    x = 1,493.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.