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Finding the Fourth Proportional to 3,741.54, 5,161.74 and 2,745.09

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Solution

The fourth proportional to 3,741.54, 5,161.74 and 2,745.09 is: 3,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.54 : 5,161.74 = 2,745.09 : x
  2. Step 2: Convert to fraction form
    3,741.54/5,161.74 = 2,745.09/x
  3. Step 3: Cross multiply
    3,741.54x = 5,161.74 × 2,745.09
  4. Step 4: Simplify right side
    3,741.54x = 14,169,434.42
  5. Step 5: Solve for x
    x = 14,169,434.42/3,741.54
  6. Step 6: Final answer
    x = 3,787.06

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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.