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Finding the Fourth Proportional to 3,682.60, 5,081.72 and 2,003.98

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Solution

The fourth proportional to 3,682.60, 5,081.72 and 2,003.98 is: 2,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.60 : 5,081.72 = 2,003.98 : x
  2. Step 2: Convert to fraction form
    3,682.60/5,081.72 = 2,003.98/x
  3. Step 3: Cross multiply
    3,682.60x = 5,081.72 × 2,003.98
  4. Step 4: Simplify right side
    3,682.60x = 10,183,665.25
  5. Step 5: Solve for x
    x = 10,183,665.25/3,682.60
  6. Step 6: Final answer
    x = 2,765.35

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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.