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Finding the Fourth Proportional to 3,840.49, 5,294.68 and 3,757.69

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Solution

The fourth proportional to 3,840.49, 5,294.68 and 3,757.69 is: 5,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.49 : 5,294.68 = 3,757.69 : x
  2. Step 2: Convert to fraction form
    3,840.49/5,294.68 = 3,757.69/x
  3. Step 3: Cross multiply
    3,840.49x = 5,294.68 × 3,757.69
  4. Step 4: Simplify right side
    3,840.49x = 19,895,766.09
  5. Step 5: Solve for x
    x = 19,895,766.09/3,840.49
  6. Step 6: Final answer
    x = 5,180.53

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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.