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Finding the Fourth Proportional to 4,912.46, 7,362.81 and 2,276.39

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Solution

The fourth proportional to 4,912.46, 7,362.81 and 2,276.39 is: 3,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.46 : 7,362.81 = 2,276.39 : x
  2. Step 2: Convert to fraction form
    4,912.46/7,362.81 = 2,276.39/x
  3. Step 3: Cross multiply
    4,912.46x = 7,362.81 × 2,276.39
  4. Step 4: Simplify right side
    4,912.46x = 16,760,645.46
  5. Step 5: Solve for x
    x = 16,760,645.46/4,912.46
  6. Step 6: Final answer
    x = 3,411.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.