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Finding the Fourth Proportional to 3,650.42, 5,035.99 and 2,234.17

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Solution

The fourth proportional to 3,650.42, 5,035.99 and 2,234.17 is: 3,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.42 : 5,035.99 = 2,234.17 : x
  2. Step 2: Convert to fraction form
    3,650.42/5,035.99 = 2,234.17/x
  3. Step 3: Cross multiply
    3,650.42x = 5,035.99 × 2,234.17
  4. Step 4: Simplify right side
    3,650.42x = 11,251,257.78
  5. Step 5: Solve for x
    x = 11,251,257.78/3,650.42
  6. Step 6: Final answer
    x = 3,082.18

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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.