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Finding the Fourth Proportional to 5,287.69, 7,928.83 and 2,822.05

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Solution

The fourth proportional to 5,287.69, 7,928.83 and 2,822.05 is: 4,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.69 : 7,928.83 = 2,822.05 : x
  2. Step 2: Convert to fraction form
    5,287.69/7,928.83 = 2,822.05/x
  3. Step 3: Cross multiply
    5,287.69x = 7,928.83 × 2,822.05
  4. Step 4: Simplify right side
    5,287.69x = 22,375,554.70
  5. Step 5: Solve for x
    x = 22,375,554.70/5,287.69
  6. Step 6: Final answer
    x = 4,231.63

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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.