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Finding the Fourth Proportional to 5,467.82, 8,203.14 and 2,542.70

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Solution

The fourth proportional to 5,467.82, 8,203.14 and 2,542.70 is: 3,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.82 : 8,203.14 = 2,542.70 : x
  2. Step 2: Convert to fraction form
    5,467.82/8,203.14 = 2,542.70/x
  3. Step 3: Cross multiply
    5,467.82x = 8,203.14 × 2,542.70
  4. Step 4: Simplify right side
    5,467.82x = 20,858,124.08
  5. Step 5: Solve for x
    x = 20,858,124.08/5,467.82
  6. Step 6: Final answer
    x = 3,814.71

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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.