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Finding the Fourth Proportional to 6,344.25, 8,754.38 and 3,511.17

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Solution

The fourth proportional to 6,344.25, 8,754.38 and 3,511.17 is: 4,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.25 : 8,754.38 = 3,511.17 : x
  2. Step 2: Convert to fraction form
    6,344.25/8,754.38 = 3,511.17/x
  3. Step 3: Cross multiply
    6,344.25x = 8,754.38 × 3,511.17
  4. Step 4: Simplify right side
    6,344.25x = 30,738,136.66
  5. Step 5: Solve for x
    x = 30,738,136.66/6,344.25
  6. Step 6: Final answer
    x = 4,845.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.