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Finding the Fourth Proportional to 5,352.48, 8,022.24 and 2,268

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Solution

The fourth proportional to 5,352.48, 8,022.24 and 2,268 is: 3,399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.48 : 8,022.24 = 2,268 : x
  2. Step 2: Convert to fraction form
    5,352.48/8,022.24 = 2,268/x
  3. Step 3: Cross multiply
    5,352.48x = 8,022.24 × 2,268
  4. Step 4: Simplify right side
    5,352.48x = 18,194,440.32
  5. Step 5: Solve for x
    x = 18,194,440.32/5,352.48
  6. Step 6: Final answer
    x = 3,399.25

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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.