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Finding the Fourth Proportional to 5,467.43, 8,200.24 and 1,769.12

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Solution

The fourth proportional to 5,467.43, 8,200.24 and 1,769.12 is: 2,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.43 : 8,200.24 = 1,769.12 : x
  2. Step 2: Convert to fraction form
    5,467.43/8,200.24 = 1,769.12/x
  3. Step 3: Cross multiply
    5,467.43x = 8,200.24 × 1,769.12
  4. Step 4: Simplify right side
    5,467.43x = 14,507,240.04
  5. Step 5: Solve for x
    x = 14,507,240.04/5,467.43
  6. Step 6: Final answer
    x = 2,653.39

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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.