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Finding the Fourth Proportional to 5,736, 8,605.44 and 1,632

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Solution

The fourth proportional to 5,736, 8,605.44 and 1,632 is: 2,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736 : 8,605.44 = 1,632 : x
  2. Step 2: Convert to fraction form
    5,736/8,605.44 = 1,632/x
  3. Step 3: Cross multiply
    5,736x = 8,605.44 × 1,632
  4. Step 4: Simplify right side
    5,736x = 14,044,078.08
  5. Step 5: Solve for x
    x = 14,044,078.08/5,736
  6. Step 6: Final answer
    x = 2,448.41

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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.