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Finding the Fourth Proportional to 3,861.67, 5,792.49 and 1,396.48

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Solution

The fourth proportional to 3,861.67, 5,792.49 and 1,396.48 is: 2,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.67 : 5,792.49 = 1,396.48 : x
  2. Step 2: Convert to fraction form
    3,861.67/5,792.49 = 1,396.48/x
  3. Step 3: Cross multiply
    3,861.67x = 5,792.49 × 1,396.48
  4. Step 4: Simplify right side
    3,861.67x = 8,089,081.95
  5. Step 5: Solve for x
    x = 8,089,081.95/3,861.67
  6. Step 6: Final answer
    x = 2,094.71

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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.