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Finding the Fourth Proportional to 5,834, 8,755.86 and 2,756

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Solution

The fourth proportional to 5,834, 8,755.86 and 2,756 is: 4,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834 : 8,755.86 = 2,756 : x
  2. Step 2: Convert to fraction form
    5,834/8,755.86 = 2,756/x
  3. Step 3: Cross multiply
    5,834x = 8,755.86 × 2,756
  4. Step 4: Simplify right side
    5,834x = 24,131,150.16
  5. Step 5: Solve for x
    x = 24,131,150.16/5,834
  6. Step 6: Final answer
    x = 4,136.30

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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.