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Finding the Fourth Proportional to 5,761.05, 7,951.24 and 4,256.42

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Solution

The fourth proportional to 5,761.05, 7,951.24 and 4,256.42 is: 5,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.05 : 7,951.24 = 4,256.42 : x
  2. Step 2: Convert to fraction form
    5,761.05/7,951.24 = 4,256.42/x
  3. Step 3: Cross multiply
    5,761.05x = 7,951.24 × 4,256.42
  4. Step 4: Simplify right side
    5,761.05x = 33,843,816.96
  5. Step 5: Solve for x
    x = 33,843,816.96/5,761.05
  6. Step 6: Final answer
    x = 5,874.59

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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.