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Finding the Fourth Proportional to 3,643.33, 5,027.87 and 2,049.96

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Solution

The fourth proportional to 3,643.33, 5,027.87 and 2,049.96 is: 2,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.33 : 5,027.87 = 2,049.96 : x
  2. Step 2: Convert to fraction form
    3,643.33/5,027.87 = 2,049.96/x
  3. Step 3: Cross multiply
    3,643.33x = 5,027.87 × 2,049.96
  4. Step 4: Simplify right side
    3,643.33x = 10,306,928.08
  5. Step 5: Solve for x
    x = 10,306,928.08/3,643.33
  6. Step 6: Final answer
    x = 2,828.99

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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.