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Finding the Fourth Proportional to 3,906.44, 5,861.07 and 1,715.79

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Solution

The fourth proportional to 3,906.44, 5,861.07 and 1,715.79 is: 2,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.44 : 5,861.07 = 1,715.79 : x
  2. Step 2: Convert to fraction form
    3,906.44/5,861.07 = 1,715.79/x
  3. Step 3: Cross multiply
    3,906.44x = 5,861.07 × 1,715.79
  4. Step 4: Simplify right side
    3,906.44x = 10,056,365.30
  5. Step 5: Solve for x
    x = 10,056,365.30/3,906.44
  6. Step 6: Final answer
    x = 2,574.30

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Why These Related Problems?

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