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Finding the Fourth Proportional to 3,682.62, 5,081.88 and 2,003.96

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Solution

The fourth proportional to 3,682.62, 5,081.88 and 2,003.96 is: 2,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.62 : 5,081.88 = 2,003.96 : x
  2. Step 2: Convert to fraction form
    3,682.62/5,081.88 = 2,003.96/x
  3. Step 3: Cross multiply
    3,682.62x = 5,081.88 × 2,003.96
  4. Step 4: Simplify right side
    3,682.62x = 10,183,904.46
  5. Step 5: Solve for x
    x = 10,183,904.46/3,682.62
  6. Step 6: Final answer
    x = 2,765.40

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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.