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Finding the Fourth Proportional to 3,694.72, 5,098.67 and 2,016.14

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Solution

The fourth proportional to 3,694.72, 5,098.67 and 2,016.14 is: 2,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.72 : 5,098.67 = 2,016.14 : x
  2. Step 2: Convert to fraction form
    3,694.72/5,098.67 = 2,016.14/x
  3. Step 3: Cross multiply
    3,694.72x = 5,098.67 × 2,016.14
  4. Step 4: Simplify right side
    3,694.72x = 10,279,638.87
  5. Step 5: Solve for x
    x = 10,279,638.87/3,694.72
  6. Step 6: Final answer
    x = 2,782.25

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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.