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Finding the Fourth Proportional to 3,889.53, 5,324.61 and 3,861.74

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Solution

The fourth proportional to 3,889.53, 5,324.61 and 3,861.74 is: 5,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.53 : 5,324.61 = 3,861.74 : x
  2. Step 2: Convert to fraction form
    3,889.53/5,324.61 = 3,861.74/x
  3. Step 3: Cross multiply
    3,889.53x = 5,324.61 × 3,861.74
  4. Step 4: Simplify right side
    3,889.53x = 20,562,259.42
  5. Step 5: Solve for x
    x = 20,562,259.42/3,889.53
  6. Step 6: Final answer
    x = 5,286.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.