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Finding the Fourth Proportional to 3,790.62, 5,230.17 and 2,218.14

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Solution

The fourth proportional to 3,790.62, 5,230.17 and 2,218.14 is: 3,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.62 : 5,230.17 = 2,218.14 : x
  2. Step 2: Convert to fraction form
    3,790.62/5,230.17 = 2,218.14/x
  3. Step 3: Cross multiply
    3,790.62x = 5,230.17 × 2,218.14
  4. Step 4: Simplify right side
    3,790.62x = 11,601,249.28
  5. Step 5: Solve for x
    x = 11,601,249.28/3,790.62
  6. Step 6: Final answer
    x = 3,060.51

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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.