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Finding the Fourth Proportional to 3,709.70, 5,116.21 and 2,450.81

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Solution

The fourth proportional to 3,709.70, 5,116.21 and 2,450.81 is: 3,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.70 : 5,116.21 = 2,450.81 : x
  2. Step 2: Convert to fraction form
    3,709.70/5,116.21 = 2,450.81/x
  3. Step 3: Cross multiply
    3,709.70x = 5,116.21 × 2,450.81
  4. Step 4: Simplify right side
    3,709.70x = 12,538,850.30
  5. Step 5: Solve for x
    x = 12,538,850.30/3,709.70
  6. Step 6: Final answer
    x = 3,380.02

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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.