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Finding the Fourth Proportional to 5,195.32, 7,792.97 and 4,027.70

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Solution

The fourth proportional to 5,195.32, 7,792.97 and 4,027.70 is: 6,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.32 : 7,792.97 = 4,027.70 : x
  2. Step 2: Convert to fraction form
    5,195.32/7,792.97 = 4,027.70/x
  3. Step 3: Cross multiply
    5,195.32x = 7,792.97 × 4,027.70
  4. Step 4: Simplify right side
    5,195.32x = 31,387,745.27
  5. Step 5: Solve for x
    x = 31,387,745.27/5,195.32
  6. Step 6: Final answer
    x = 6,041.54

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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.