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Finding the Fourth Proportional to 3,826.34, 5,741.48 and 1,634.48

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Solution

The fourth proportional to 3,826.34, 5,741.48 and 1,634.48 is: 2,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.34 : 5,741.48 = 1,634.48 : x
  2. Step 2: Convert to fraction form
    3,826.34/5,741.48 = 1,634.48/x
  3. Step 3: Cross multiply
    3,826.34x = 5,741.48 × 1,634.48
  4. Step 4: Simplify right side
    3,826.34x = 9,384,331.14
  5. Step 5: Solve for x
    x = 9,384,331.14/3,826.34
  6. Step 6: Final answer
    x = 2,452.56

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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.