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Finding the Fourth Proportional to 3,633.69, 5,450.94 and 1,036.65

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Solution

The fourth proportional to 3,633.69, 5,450.94 and 1,036.65 is: 1,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.69 : 5,450.94 = 1,036.65 : x
  2. Step 2: Convert to fraction form
    3,633.69/5,450.94 = 1,036.65/x
  3. Step 3: Cross multiply
    3,633.69x = 5,450.94 × 1,036.65
  4. Step 4: Simplify right side
    3,633.69x = 5,650,716.95
  5. Step 5: Solve for x
    x = 5,650,716.95/3,633.69
  6. Step 6: Final answer
    x = 1,555.09

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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.