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Finding the Fourth Proportional to 3,202.72, 4,799.22 and 2,377.13

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Solution

The fourth proportional to 3,202.72, 4,799.22 and 2,377.13 is: 3,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.72 : 4,799.22 = 2,377.13 : x
  2. Step 2: Convert to fraction form
    3,202.72/4,799.22 = 2,377.13/x
  3. Step 3: Cross multiply
    3,202.72x = 4,799.22 × 2,377.13
  4. Step 4: Simplify right side
    3,202.72x = 11,408,369.84
  5. Step 5: Solve for x
    x = 11,408,369.84/3,202.72
  6. Step 6: Final answer
    x = 3,562.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.