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Finding the Fourth Proportional to 5,949.56, 8,209.86 and 3,296.27

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Solution

The fourth proportional to 5,949.56, 8,209.86 and 3,296.27 is: 4,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.56 : 8,209.86 = 3,296.27 : x
  2. Step 2: Convert to fraction form
    5,949.56/8,209.86 = 3,296.27/x
  3. Step 3: Cross multiply
    5,949.56x = 8,209.86 × 3,296.27
  4. Step 4: Simplify right side
    5,949.56x = 27,061,915.22
  5. Step 5: Solve for x
    x = 27,061,915.22/5,949.56
  6. Step 6: Final answer
    x = 4,548.56

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