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Finding the Fourth Proportional to 3,682.58, 5,081.78 and 2,003.95

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Solution

The fourth proportional to 3,682.58, 5,081.78 and 2,003.95 is: 2,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.58 : 5,081.78 = 2,003.95 : x
  2. Step 2: Convert to fraction form
    3,682.58/5,081.78 = 2,003.95/x
  3. Step 3: Cross multiply
    3,682.58x = 5,081.78 × 2,003.95
  4. Step 4: Simplify right side
    3,682.58x = 10,183,597.60
  5. Step 5: Solve for x
    x = 10,183,597.60/3,682.58
  6. Step 6: Final answer
    x = 2,765.34

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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.