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Finding the Fourth Proportional to 3,635.36, 5,016.36 and 2,042.09

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Solution

The fourth proportional to 3,635.36, 5,016.36 and 2,042.09 is: 2,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.36 : 5,016.36 = 2,042.09 : x
  2. Step 2: Convert to fraction form
    3,635.36/5,016.36 = 2,042.09/x
  3. Step 3: Cross multiply
    3,635.36x = 5,016.36 × 2,042.09
  4. Step 4: Simplify right side
    3,635.36x = 10,243,859.98
  5. Step 5: Solve for x
    x = 10,243,859.98/3,635.36
  6. Step 6: Final answer
    x = 2,817.84

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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.