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Finding the Fourth Proportional to 4,865.38, 6,716.46 and 3,186.86

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Solution

The fourth proportional to 4,865.38, 6,716.46 and 3,186.86 is: 4,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.38 : 6,716.46 = 3,186.86 : x
  2. Step 2: Convert to fraction form
    4,865.38/6,716.46 = 3,186.86/x
  3. Step 3: Cross multiply
    4,865.38x = 6,716.46 × 3,186.86
  4. Step 4: Simplify right side
    4,865.38x = 21,404,400.92
  5. Step 5: Solve for x
    x = 21,404,400.92/4,865.38
  6. Step 6: Final answer
    x = 4,399.33

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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.