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Finding the Fourth Proportional to 4,940.45, 6,817.82 and 3,682.61

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Solution

The fourth proportional to 4,940.45, 6,817.82 and 3,682.61 is: 5,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.45 : 6,817.82 = 3,682.61 : x
  2. Step 2: Convert to fraction form
    4,940.45/6,817.82 = 3,682.61/x
  3. Step 3: Cross multiply
    4,940.45x = 6,817.82 × 3,682.61
  4. Step 4: Simplify right side
    4,940.45x = 25,107,372.11
  5. Step 5: Solve for x
    x = 25,107,372.11/4,940.45
  6. Step 6: Final answer
    x = 5,082.00

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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.