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Finding the Fourth Proportional to 3,861.35, 5,792.47 and 1,397.33

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Solution

The fourth proportional to 3,861.35, 5,792.47 and 1,397.33 is: 2,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.35 : 5,792.47 = 1,397.33 : x
  2. Step 2: Convert to fraction form
    3,861.35/5,792.47 = 1,397.33/x
  3. Step 3: Cross multiply
    3,861.35x = 5,792.47 × 1,397.33
  4. Step 4: Simplify right side
    3,861.35x = 8,093,979.37
  5. Step 5: Solve for x
    x = 8,093,979.37/3,861.35
  6. Step 6: Final answer
    x = 2,096.15

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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.