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Finding the Fourth Proportional to 3,682.51, 5,081.87 and 2,003.92

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Solution

The fourth proportional to 3,682.51, 5,081.87 and 2,003.92 is: 2,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.51 : 5,081.87 = 2,003.92 : x
  2. Step 2: Convert to fraction form
    3,682.51/5,081.87 = 2,003.92/x
  3. Step 3: Cross multiply
    3,682.51x = 5,081.87 × 2,003.92
  4. Step 4: Simplify right side
    3,682.51x = 10,183,653.24
  5. Step 5: Solve for x
    x = 10,183,653.24/3,682.51
  6. Step 6: Final answer
    x = 2,765.41

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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.