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Finding the Fourth Proportional to 4,157.91, 5,738.82 and 2,834.76

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Solution

The fourth proportional to 4,157.91, 5,738.82 and 2,834.76 is: 3,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.91 : 5,738.82 = 2,834.76 : x
  2. Step 2: Convert to fraction form
    4,157.91/5,738.82 = 2,834.76/x
  3. Step 3: Cross multiply
    4,157.91x = 5,738.82 × 2,834.76
  4. Step 4: Simplify right side
    4,157.91x = 16,268,177.38
  5. Step 5: Solve for x
    x = 16,268,177.38/4,157.91
  6. Step 6: Final answer
    x = 3,912.59

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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.