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Finding the Fourth Proportional to 3,682.14, 5,523.22 and 1,835.54

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Solution

The fourth proportional to 3,682.14, 5,523.22 and 1,835.54 is: 2,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.14 : 5,523.22 = 1,835.54 : x
  2. Step 2: Convert to fraction form
    3,682.14/5,523.22 = 1,835.54/x
  3. Step 3: Cross multiply
    3,682.14x = 5,523.22 × 1,835.54
  4. Step 4: Simplify right side
    3,682.14x = 10,138,091.24
  5. Step 5: Solve for x
    x = 10,138,091.24/3,682.14
  6. Step 6: Final answer
    x = 2,753.31

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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.