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Finding the Fourth Proportional to 5,757.42, 7,940.34 and 4,638

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Solution

The fourth proportional to 5,757.42, 7,940.34 and 4,638 is: 6,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.42 : 7,940.34 = 4,638 : x
  2. Step 2: Convert to fraction form
    5,757.42/7,940.34 = 4,638/x
  3. Step 3: Cross multiply
    5,757.42x = 7,940.34 × 4,638
  4. Step 4: Simplify right side
    5,757.42x = 36,827,296.92
  5. Step 5: Solve for x
    x = 36,827,296.92/5,757.42
  6. Step 6: Final answer
    x = 6,396.49

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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.