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Finding the Fourth Proportional to 6,475.86, 8,936.37 and 3,682.26

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Solution

The fourth proportional to 6,475.86, 8,936.37 and 3,682.26 is: 5,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.86 : 8,936.37 = 3,682.26 : x
  2. Step 2: Convert to fraction form
    6,475.86/8,936.37 = 3,682.26/x
  3. Step 3: Cross multiply
    6,475.86x = 8,936.37 × 3,682.26
  4. Step 4: Simplify right side
    6,475.86x = 32,906,037.80
  5. Step 5: Solve for x
    x = 32,906,037.80/6,475.86
  6. Step 6: Final answer
    x = 5,081.34

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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.