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Finding the Fourth Proportional to 3,790.82, 5,232.20 and 2,462.22

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Solution

The fourth proportional to 3,790.82, 5,232.20 and 2,462.22 is: 3,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.82 : 5,232.20 = 2,462.22 : x
  2. Step 2: Convert to fraction form
    3,790.82/5,232.20 = 2,462.22/x
  3. Step 3: Cross multiply
    3,790.82x = 5,232.20 × 2,462.22
  4. Step 4: Simplify right side
    3,790.82x = 12,882,815.17
  5. Step 5: Solve for x
    x = 12,882,815.17/3,790.82
  6. Step 6: Final answer
    x = 3,398.42

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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.