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Finding the Fourth Proportional to 5,949.66, 8,209.68 and 3,297.22

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Solution

The fourth proportional to 5,949.66, 8,209.68 and 3,297.22 is: 4,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.66 : 8,209.68 = 3,297.22 : x
  2. Step 2: Convert to fraction form
    5,949.66/8,209.68 = 3,297.22/x
  3. Step 3: Cross multiply
    5,949.66x = 8,209.68 × 3,297.22
  4. Step 4: Simplify right side
    5,949.66x = 27,069,121.09
  5. Step 5: Solve for x
    x = 27,069,121.09/5,949.66
  6. Step 6: Final answer
    x = 4,549.69

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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.