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Finding the Fourth Proportional to 5,150.82, 7,694.88 and 3,287.10

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Solution

The fourth proportional to 5,150.82, 7,694.88 and 3,287.10 is: 4,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.82 : 7,694.88 = 3,287.10 : x
  2. Step 2: Convert to fraction form
    5,150.82/7,694.88 = 3,287.10/x
  3. Step 3: Cross multiply
    5,150.82x = 7,694.88 × 3,287.10
  4. Step 4: Simplify right side
    5,150.82x = 25,293,840.05
  5. Step 5: Solve for x
    x = 25,293,840.05/5,150.82
  6. Step 6: Final answer
    x = 4,910.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.