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Finding the Fourth Proportional to 3,633.31, 5,450.49 and 1,167.31

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Solution

The fourth proportional to 3,633.31, 5,450.49 and 1,167.31 is: 1,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.31 : 5,450.49 = 1,167.31 : x
  2. Step 2: Convert to fraction form
    3,633.31/5,450.49 = 1,167.31/x
  3. Step 3: Cross multiply
    3,633.31x = 5,450.49 × 1,167.31
  4. Step 4: Simplify right side
    3,633.31x = 6,362,418.30
  5. Step 5: Solve for x
    x = 6,362,418.30/3,633.31
  6. Step 6: Final answer
    x = 1,751.14

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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.