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Finding the Fourth Proportional to 5,407.44, 8,112.24 and 2,287.44

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Solution

The fourth proportional to 5,407.44, 8,112.24 and 2,287.44 is: 3,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.44 : 8,112.24 = 2,287.44 : x
  2. Step 2: Convert to fraction form
    5,407.44/8,112.24 = 2,287.44/x
  3. Step 3: Cross multiply
    5,407.44x = 8,112.24 × 2,287.44
  4. Step 4: Simplify right side
    5,407.44x = 18,556,262.27
  5. Step 5: Solve for x
    x = 18,556,262.27/5,407.44
  6. Step 6: Final answer
    x = 3,431.62

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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.