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Finding the Fourth Proportional to 5,737.43, 8,605.97 and 1,633.43

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Solution

The fourth proportional to 5,737.43, 8,605.97 and 1,633.43 is: 2,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.43 : 8,605.97 = 1,633.43 : x
  2. Step 2: Convert to fraction form
    5,737.43/8,605.97 = 1,633.43/x
  3. Step 3: Cross multiply
    5,737.43x = 8,605.97 × 1,633.43
  4. Step 4: Simplify right side
    5,737.43x = 14,057,241.41
  5. Step 5: Solve for x
    x = 14,057,241.41/5,737.43
  6. Step 6: Final answer
    x = 2,450.09

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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.