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Finding the Fourth Proportional to 5,949.15, 8,209.82 and 3,296.53

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Solution

The fourth proportional to 5,949.15, 8,209.82 and 3,296.53 is: 4,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.15 : 8,209.82 = 3,296.53 : x
  2. Step 2: Convert to fraction form
    5,949.15/8,209.82 = 3,296.53/x
  3. Step 3: Cross multiply
    5,949.15x = 8,209.82 × 3,296.53
  4. Step 4: Simplify right side
    5,949.15x = 27,063,936.43
  5. Step 5: Solve for x
    x = 27,063,936.43/5,949.15
  6. Step 6: Final answer
    x = 4,549.21

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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.