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Finding the Fourth Proportional to 3,467.67, 5,201.42 and 2,354.31

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Solution

The fourth proportional to 3,467.67, 5,201.42 and 2,354.31 is: 3,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.67 : 5,201.42 = 2,354.31 : x
  2. Step 2: Convert to fraction form
    3,467.67/5,201.42 = 2,354.31/x
  3. Step 3: Cross multiply
    3,467.67x = 5,201.42 × 2,354.31
  4. Step 4: Simplify right side
    3,467.67x = 12,245,755.12
  5. Step 5: Solve for x
    x = 12,245,755.12/3,467.67
  6. Step 6: Final answer
    x = 3,531.41

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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.