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Finding the Fourth Proportional to 5,757.75, 7,942.91 and 5,010.53

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Solution

The fourth proportional to 5,757.75, 7,942.91 and 5,010.53 is: 6,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.75 : 7,942.91 = 5,010.53 : x
  2. Step 2: Convert to fraction form
    5,757.75/7,942.91 = 5,010.53/x
  3. Step 3: Cross multiply
    5,757.75x = 7,942.91 × 5,010.53
  4. Step 4: Simplify right side
    5,757.75x = 39,798,124.08
  5. Step 5: Solve for x
    x = 39,798,124.08/5,757.75
  6. Step 6: Final answer
    x = 6,912.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.