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Finding the Fourth Proportional to 3,659.22, 5,049.45 and 2,065.77

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Solution

The fourth proportional to 3,659.22, 5,049.45 and 2,065.77 is: 2,850.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.22 : 5,049.45 = 2,065.77 : x
  2. Step 2: Convert to fraction form
    3,659.22/5,049.45 = 2,065.77/x
  3. Step 3: Cross multiply
    3,659.22x = 5,049.45 × 2,065.77
  4. Step 4: Simplify right side
    3,659.22x = 10,431,002.33
  5. Step 5: Solve for x
    x = 10,431,002.33/3,659.22
  6. Step 6: Final answer
    x = 2,850.61

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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.