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Finding the Fourth Proportional to 3,739, 5,161.44 and 2,342.56

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Solution

The fourth proportional to 3,739, 5,161.44 and 2,342.56 is: 3,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739 : 5,161.44 = 2,342.56 : x
  2. Step 2: Convert to fraction form
    3,739/5,161.44 = 2,342.56/x
  3. Step 3: Cross multiply
    3,739x = 5,161.44 × 2,342.56
  4. Step 4: Simplify right side
    3,739x = 12,090,982.89
  5. Step 5: Solve for x
    x = 12,090,982.89/3,739
  6. Step 6: Final answer
    x = 3,233.75

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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.