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Finding the Fourth Proportional to 3,680.14, 5,507.89 and 3,022

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Solution

The fourth proportional to 3,680.14, 5,507.89 and 3,022 is: 4,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.14 : 5,507.89 = 3,022 : x
  2. Step 2: Convert to fraction form
    3,680.14/5,507.89 = 3,022/x
  3. Step 3: Cross multiply
    3,680.14x = 5,507.89 × 3,022
  4. Step 4: Simplify right side
    3,680.14x = 16,644,843.58
  5. Step 5: Solve for x
    x = 16,644,843.58/3,680.14
  6. Step 6: Final answer
    x = 4,522.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.