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Finding the Fourth Proportional to 3,861.72, 5,790.69 and 1,396.17

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Solution

The fourth proportional to 3,861.72, 5,790.69 and 1,396.17 is: 2,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.72 : 5,790.69 = 1,396.17 : x
  2. Step 2: Convert to fraction form
    3,861.72/5,790.69 = 1,396.17/x
  3. Step 3: Cross multiply
    3,861.72x = 5,790.69 × 1,396.17
  4. Step 4: Simplify right side
    3,861.72x = 8,084,787.66
  5. Step 5: Solve for x
    x = 8,084,787.66/3,861.72
  6. Step 6: Final answer
    x = 2,093.57

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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.