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Finding the Fourth Proportional to 3,690.50, 5,092.82 and 2,011.92

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Solution

The fourth proportional to 3,690.50, 5,092.82 and 2,011.92 is: 2,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.50 : 5,092.82 = 2,011.92 : x
  2. Step 2: Convert to fraction form
    3,690.50/5,092.82 = 2,011.92/x
  3. Step 3: Cross multiply
    3,690.50x = 5,092.82 × 2,011.92
  4. Step 4: Simplify right side
    3,690.50x = 10,246,324.80
  5. Step 5: Solve for x
    x = 10,246,324.80/3,690.50
  6. Step 6: Final answer
    x = 2,776.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.