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Finding the Fourth Proportional to 3,694.91, 5,099.02 and 2,016.31

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Solution

The fourth proportional to 3,694.91, 5,099.02 and 2,016.31 is: 2,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.91 : 5,099.02 = 2,016.31 : x
  2. Step 2: Convert to fraction form
    3,694.91/5,099.02 = 2,016.31/x
  3. Step 3: Cross multiply
    3,694.91x = 5,099.02 × 2,016.31
  4. Step 4: Simplify right side
    3,694.91x = 10,281,205.02
  5. Step 5: Solve for x
    x = 10,281,205.02/3,694.91
  6. Step 6: Final answer
    x = 2,782.53

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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.