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Finding the Fourth Proportional to 5,174.74, 7,738.27 and 3,843.05

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Solution

The fourth proportional to 5,174.74, 7,738.27 and 3,843.05 is: 5,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.74 : 7,738.27 = 3,843.05 : x
  2. Step 2: Convert to fraction form
    5,174.74/7,738.27 = 3,843.05/x
  3. Step 3: Cross multiply
    5,174.74x = 7,738.27 × 3,843.05
  4. Step 4: Simplify right side
    5,174.74x = 29,738,553.75
  5. Step 5: Solve for x
    x = 29,738,553.75/5,174.74
  6. Step 6: Final answer
    x = 5,746.87

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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.