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Finding the Fourth Proportional to 5,896.91, 8,144.06 and 3,664.08

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Solution

The fourth proportional to 5,896.91, 8,144.06 and 3,664.08 is: 5,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.91 : 8,144.06 = 3,664.08 : x
  2. Step 2: Convert to fraction form
    5,896.91/8,144.06 = 3,664.08/x
  3. Step 3: Cross multiply
    5,896.91x = 8,144.06 × 3,664.08
  4. Step 4: Simplify right side
    5,896.91x = 29,840,469.04
  5. Step 5: Solve for x
    x = 29,840,469.04/5,896.91
  6. Step 6: Final answer
    x = 5,060.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.