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Finding the Fourth Proportional to 3,861.96, 5,327.74 and 2,289.16

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Solution

The fourth proportional to 3,861.96, 5,327.74 and 2,289.16 is: 3,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.96 : 5,327.74 = 2,289.16 : x
  2. Step 2: Convert to fraction form
    3,861.96/5,327.74 = 2,289.16/x
  3. Step 3: Cross multiply
    3,861.96x = 5,327.74 × 2,289.16
  4. Step 4: Simplify right side
    3,861.96x = 12,196,049.30
  5. Step 5: Solve for x
    x = 12,196,049.30/3,861.96
  6. Step 6: Final answer
    x = 3,157.99

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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.