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Finding the Fourth Proportional to 3,462.27, 5,192.19 and 996.43

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Solution

The fourth proportional to 3,462.27, 5,192.19 and 996.43 is: 1,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.27 : 5,192.19 = 996.43 : x
  2. Step 2: Convert to fraction form
    3,462.27/5,192.19 = 996.43/x
  3. Step 3: Cross multiply
    3,462.27x = 5,192.19 × 996.43
  4. Step 4: Simplify right side
    3,462.27x = 5,173,653.44
  5. Step 5: Solve for x
    x = 5,173,653.44/3,462.27
  6. Step 6: Final answer
    x = 1,494.29

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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.