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Finding the Fourth Proportional to 4,157,407.14, 5,741,183.82 and 3,930,978.96

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Solution

The fourth proportional to 4,157,407.14, 5,741,183.82 and 3,930,978.96 is: 5,428,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,407.14 : 5,741,183.82 = 3,930,978.96 : x
  2. Step 2: Convert to fraction form
    4,157,407.14/5,741,183.82 = 3,930,978.96/x
  3. Step 3: Cross multiply
    4,157,407.14x = 5,741,183.82 × 3,930,978.96
  4. Step 4: Simplify right side
    4,157,407.14x = 22,568,472,801,912.43
  5. Step 5: Solve for x
    x = 22,568,472,801,912.43/4,157,407.14
  6. Step 6: Final answer
    x = 5,428,497.15

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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.