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Finding the Fourth Proportional to 5,174.62, 7,757.60 and 2,052.68

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Solution

The fourth proportional to 5,174.62, 7,757.60 and 2,052.68 is: 3,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.62 : 7,757.60 = 2,052.68 : x
  2. Step 2: Convert to fraction form
    5,174.62/7,757.60 = 2,052.68/x
  3. Step 3: Cross multiply
    5,174.62x = 7,757.60 × 2,052.68
  4. Step 4: Simplify right side
    5,174.62x = 15,923,870.37
  5. Step 5: Solve for x
    x = 15,923,870.37/5,174.62
  6. Step 6: Final answer
    x = 3,077.30

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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.