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Finding the Fourth Proportional to 3,643.41, 5,027.44 and 2,049.86

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Solution

The fourth proportional to 3,643.41, 5,027.44 and 2,049.86 is: 2,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.41 : 5,027.44 = 2,049.86 : x
  2. Step 2: Convert to fraction form
    3,643.41/5,027.44 = 2,049.86/x
  3. Step 3: Cross multiply
    3,643.41x = 5,027.44 × 2,049.86
  4. Step 4: Simplify right side
    3,643.41x = 10,305,536.93
  5. Step 5: Solve for x
    x = 10,305,536.93/3,643.41
  6. Step 6: Final answer
    x = 2,828.55

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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.