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Finding the Fourth Proportional to 3,832.80, 5,744.24 and 1,609.11

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Solution

The fourth proportional to 3,832.80, 5,744.24 and 1,609.11 is: 2,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.80 : 5,744.24 = 1,609.11 : x
  2. Step 2: Convert to fraction form
    3,832.80/5,744.24 = 1,609.11/x
  3. Step 3: Cross multiply
    3,832.80x = 5,744.24 × 1,609.11
  4. Step 4: Simplify right side
    3,832.80x = 9,243,105.98
  5. Step 5: Solve for x
    x = 9,243,105.98/3,832.80
  6. Step 6: Final answer
    x = 2,411.58

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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.