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Finding the Fourth Proportional to 3,694.98, 5,099.12 and 2,016.37

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Solution

The fourth proportional to 3,694.98, 5,099.12 and 2,016.37 is: 2,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.98 : 5,099.12 = 2,016.37 : x
  2. Step 2: Convert to fraction form
    3,694.98/5,099.12 = 2,016.37/x
  3. Step 3: Cross multiply
    3,694.98x = 5,099.12 × 2,016.37
  4. Step 4: Simplify right side
    3,694.98x = 10,281,712.59
  5. Step 5: Solve for x
    x = 10,281,712.59/3,694.98
  6. Step 6: Final answer
    x = 2,782.62

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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.