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Finding the Fourth Proportional to 3,642.82, 5,027.04 and 2,049.46

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Solution

The fourth proportional to 3,642.82, 5,027.04 and 2,049.46 is: 2,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.82 : 5,027.04 = 2,049.46 : x
  2. Step 2: Convert to fraction form
    3,642.82/5,027.04 = 2,049.46/x
  3. Step 3: Cross multiply
    3,642.82x = 5,027.04 × 2,049.46
  4. Step 4: Simplify right side
    3,642.82x = 10,302,717.40
  5. Step 5: Solve for x
    x = 10,302,717.40/3,642.82
  6. Step 6: Final answer
    x = 2,828.23

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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.