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Finding the Fourth Proportional to 3,694.98, 5,099.18 and 2,016.49

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Solution

The fourth proportional to 3,694.98, 5,099.18 and 2,016.49 is: 2,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.98 : 5,099.18 = 2,016.49 : x
  2. Step 2: Convert to fraction form
    3,694.98/5,099.18 = 2,016.49/x
  3. Step 3: Cross multiply
    3,694.98x = 5,099.18 × 2,016.49
  4. Step 4: Simplify right side
    3,694.98x = 10,282,455.81
  5. Step 5: Solve for x
    x = 10,282,455.81/3,694.98
  6. Step 6: Final answer
    x = 2,782.82

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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.