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Finding the Fourth Proportional to 5,896.70, 8,840.95 and 2,608.00

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Solution

The fourth proportional to 5,896.70, 8,840.95 and 2,608.00 is: 3,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.70 : 8,840.95 = 2,608.00 : x
  2. Step 2: Convert to fraction form
    5,896.70/8,840.95 = 2,608.00/x
  3. Step 3: Cross multiply
    5,896.70x = 8,840.95 × 2,608.00
  4. Step 4: Simplify right side
    5,896.70x = 23,057,168.98
  5. Step 5: Solve for x
    x = 23,057,168.98/5,896.70
  6. Step 6: Final answer
    x = 3,910.18

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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.