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Finding the Fourth Proportional to 3,402.23, 5,105.25 and 1,842.20

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Solution

The fourth proportional to 3,402.23, 5,105.25 and 1,842.20 is: 2,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.23 : 5,105.25 = 1,842.20 : x
  2. Step 2: Convert to fraction form
    3,402.23/5,105.25 = 1,842.20/x
  3. Step 3: Cross multiply
    3,402.23x = 5,105.25 × 1,842.20
  4. Step 4: Simplify right side
    3,402.23x = 9,404,891.55
  5. Step 5: Solve for x
    x = 9,404,891.55/3,402.23
  6. Step 6: Final answer
    x = 2,764.33

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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.