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Finding the Fourth Proportional to 3,861.24, 5,794.50 and 2,889.24

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Solution

The fourth proportional to 3,861.24, 5,794.50 and 2,889.24 is: 4,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.24 : 5,794.50 = 2,889.24 : x
  2. Step 2: Convert to fraction form
    3,861.24/5,794.50 = 2,889.24/x
  3. Step 3: Cross multiply
    3,861.24x = 5,794.50 × 2,889.24
  4. Step 4: Simplify right side
    3,861.24x = 16,741,701.18
  5. Step 5: Solve for x
    x = 16,741,701.18/3,861.24
  6. Step 6: Final answer
    x = 4,335.84

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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.