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Finding the Fourth Proportional to 3,837.23, 5,755 and 1,372.22

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Solution

The fourth proportional to 3,837.23, 5,755 and 1,372.22 is: 2,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.23 : 5,755 = 1,372.22 : x
  2. Step 2: Convert to fraction form
    3,837.23/5,755 = 1,372.22/x
  3. Step 3: Cross multiply
    3,837.23x = 5,755 × 1,372.22
  4. Step 4: Simplify right side
    3,837.23x = 7,897,126.10
  5. Step 5: Solve for x
    x = 7,897,126.10/3,837.23
  6. Step 6: Final answer
    x = 2,058.03

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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.