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Finding the Fourth Proportional to 5,388.56, 8,078.14 and 2,099.36

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Solution

The fourth proportional to 5,388.56, 8,078.14 and 2,099.36 is: 3,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.56 : 8,078.14 = 2,099.36 : x
  2. Step 2: Convert to fraction form
    5,388.56/8,078.14 = 2,099.36/x
  3. Step 3: Cross multiply
    5,388.56x = 8,078.14 × 2,099.36
  4. Step 4: Simplify right side
    5,388.56x = 16,958,923.99
  5. Step 5: Solve for x
    x = 16,958,923.99/5,388.56
  6. Step 6: Final answer
    x = 3,147.21

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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.