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Finding the Fourth Proportional to 3,633.82, 5,450.72 and 1,001.14

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Solution

The fourth proportional to 3,633.82, 5,450.72 and 1,001.14 is: 1,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.82 : 5,450.72 = 1,001.14 : x
  2. Step 2: Convert to fraction form
    3,633.82/5,450.72 = 1,001.14/x
  3. Step 3: Cross multiply
    3,633.82x = 5,450.72 × 1,001.14
  4. Step 4: Simplify right side
    3,633.82x = 5,456,933.82
  5. Step 5: Solve for x
    x = 5,456,933.82/3,633.82
  6. Step 6: Final answer
    x = 1,501.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.