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Finding the Fourth Proportional to 5,896.78, 8,839.70 and 2,608.12

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Solution

The fourth proportional to 5,896.78, 8,839.70 and 2,608.12 is: 3,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.78 : 8,839.70 = 2,608.12 : x
  2. Step 2: Convert to fraction form
    5,896.78/8,839.70 = 2,608.12/x
  3. Step 3: Cross multiply
    5,896.78x = 8,839.70 × 2,608.12
  4. Step 4: Simplify right side
    5,896.78x = 23,054,998.36
  5. Step 5: Solve for x
    x = 23,054,998.36/5,896.78
  6. Step 6: Final answer
    x = 3,909.76

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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.