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Finding the Fourth Proportional to 3,633.62, 5,450.70 and 1,036.76

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Solution

The fourth proportional to 3,633.62, 5,450.70 and 1,036.76 is: 1,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.62 : 5,450.70 = 1,036.76 : x
  2. Step 2: Convert to fraction form
    3,633.62/5,450.70 = 1,036.76/x
  3. Step 3: Cross multiply
    3,633.62x = 5,450.70 × 1,036.76
  4. Step 4: Simplify right side
    3,633.62x = 5,651,067.73
  5. Step 5: Solve for x
    x = 5,651,067.73/3,633.62
  6. Step 6: Final answer
    x = 1,555.22

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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.