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Finding the Fourth Proportional to 3,675.36, 5,072.01 and 1,996.78

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Solution

The fourth proportional to 3,675.36, 5,072.01 and 1,996.78 is: 2,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.36 : 5,072.01 = 1,996.78 : x
  2. Step 2: Convert to fraction form
    3,675.36/5,072.01 = 1,996.78/x
  3. Step 3: Cross multiply
    3,675.36x = 5,072.01 × 1,996.78
  4. Step 4: Simplify right side
    3,675.36x = 10,127,662.77
  5. Step 5: Solve for x
    x = 10,127,662.77/3,675.36
  6. Step 6: Final answer
    x = 2,755.56

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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.