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Finding the Fourth Proportional to 3,682.62, 5,081.94 and 2,004.06

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Solution

The fourth proportional to 3,682.62, 5,081.94 and 2,004.06 is: 2,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.62 : 5,081.94 = 2,004.06 : x
  2. Step 2: Convert to fraction form
    3,682.62/5,081.94 = 2,004.06/x
  3. Step 3: Cross multiply
    3,682.62x = 5,081.94 × 2,004.06
  4. Step 4: Simplify right side
    3,682.62x = 10,184,512.68
  5. Step 5: Solve for x
    x = 10,184,512.68/3,682.62
  6. Step 6: Final answer
    x = 2,765.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.