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Finding the Fourth Proportional to 3,633.71, 5,450.83 and 1,036.85

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Solution

The fourth proportional to 3,633.71, 5,450.83 and 1,036.85 is: 1,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.71 : 5,450.83 = 1,036.85 : x
  2. Step 2: Convert to fraction form
    3,633.71/5,450.83 = 1,036.85/x
  3. Step 3: Cross multiply
    3,633.71x = 5,450.83 × 1,036.85
  4. Step 4: Simplify right side
    3,633.71x = 5,651,663.24
  5. Step 5: Solve for x
    x = 5,651,663.24/3,633.71
  6. Step 6: Final answer
    x = 1,555.34

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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.