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Finding the Fourth Proportional to 5,231.54, 7,219.54 and 2,873.80

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Solution

The fourth proportional to 5,231.54, 7,219.54 and 2,873.80 is: 3,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.54 : 7,219.54 = 2,873.80 : x
  2. Step 2: Convert to fraction form
    5,231.54/7,219.54 = 2,873.80/x
  3. Step 3: Cross multiply
    5,231.54x = 7,219.54 × 2,873.80
  4. Step 4: Simplify right side
    5,231.54x = 20,747,514.05
  5. Step 5: Solve for x
    x = 20,747,514.05/5,231.54
  6. Step 6: Final answer
    x = 3,965.85

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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.