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Finding the Fourth Proportional to 3,837.49, 5,757.45 and 1,372.25

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Solution

The fourth proportional to 3,837.49, 5,757.45 and 1,372.25 is: 2,058.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.49 : 5,757.45 = 1,372.25 : x
  2. Step 2: Convert to fraction form
    3,837.49/5,757.45 = 1,372.25/x
  3. Step 3: Cross multiply
    3,837.49x = 5,757.45 × 1,372.25
  4. Step 4: Simplify right side
    3,837.49x = 7,900,653.90
  5. Step 5: Solve for x
    x = 7,900,653.90/3,837.49
  6. Step 6: Final answer
    x = 2,058.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.