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Finding the Fourth Proportional to 5,100.62, 7,650.99 and 2,906.73

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Solution

The fourth proportional to 5,100.62, 7,650.99 and 2,906.73 is: 4,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.62 : 7,650.99 = 2,906.73 : x
  2. Step 2: Convert to fraction form
    5,100.62/7,650.99 = 2,906.73/x
  3. Step 3: Cross multiply
    5,100.62x = 7,650.99 × 2,906.73
  4. Step 4: Simplify right side
    5,100.62x = 22,239,362.16
  5. Step 5: Solve for x
    x = 22,239,362.16/5,100.62
  6. Step 6: Final answer
    x = 4,360.13

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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.