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Finding the Fourth Proportional to 6,679.53, 9,217.82 and 3,695.29

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Solution

The fourth proportional to 6,679.53, 9,217.82 and 3,695.29 is: 5,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.53 : 9,217.82 = 3,695.29 : x
  2. Step 2: Convert to fraction form
    6,679.53/9,217.82 = 3,695.29/x
  3. Step 3: Cross multiply
    6,679.53x = 9,217.82 × 3,695.29
  4. Step 4: Simplify right side
    6,679.53x = 34,062,504.26
  5. Step 5: Solve for x
    x = 34,062,504.26/6,679.53
  6. Step 6: Final answer
    x = 5,099.54

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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.