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Finding the Fourth Proportional to 3,724.92, 5,140.44 and 2,046.42

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Solution

The fourth proportional to 3,724.92, 5,140.44 and 2,046.42 is: 2,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.92 : 5,140.44 = 2,046.42 : x
  2. Step 2: Convert to fraction form
    3,724.92/5,140.44 = 2,046.42/x
  3. Step 3: Cross multiply
    3,724.92x = 5,140.44 × 2,046.42
  4. Step 4: Simplify right side
    3,724.92x = 10,519,499.22
  5. Step 5: Solve for x
    x = 10,519,499.22/3,724.92
  6. Step 6: Final answer
    x = 2,824.09

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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.