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Finding the Fourth Proportional to 5,895.72, 8,136.32 and 3,906.90

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Solution

The fourth proportional to 5,895.72, 8,136.32 and 3,906.90 is: 5,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.72 : 8,136.32 = 3,906.90 : x
  2. Step 2: Convert to fraction form
    5,895.72/8,136.32 = 3,906.90/x
  3. Step 3: Cross multiply
    5,895.72x = 8,136.32 × 3,906.90
  4. Step 4: Simplify right side
    5,895.72x = 31,787,769.07
  5. Step 5: Solve for x
    x = 31,787,769.07/5,895.72
  6. Step 6: Final answer
    x = 5,391.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.