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Finding the Fourth Proportional to 6,520.14, 8,997.78 and 3,725.64

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Solution

The fourth proportional to 6,520.14, 8,997.78 and 3,725.64 is: 5,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.14 : 8,997.78 = 3,725.64 : x
  2. Step 2: Convert to fraction form
    6,520.14/8,997.78 = 3,725.64/x
  3. Step 3: Cross multiply
    6,520.14x = 8,997.78 × 3,725.64
  4. Step 4: Simplify right side
    6,520.14x = 33,522,489.08
  5. Step 5: Solve for x
    x = 33,522,489.08/6,520.14
  6. Step 6: Final answer
    x = 5,141.38

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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.