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Finding the Fourth Proportional to 3,889.42, 5,367.41 and 2,120.96

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Solution

The fourth proportional to 3,889.42, 5,367.41 and 2,120.96 is: 2,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.42 : 5,367.41 = 2,120.96 : x
  2. Step 2: Convert to fraction form
    3,889.42/5,367.41 = 2,120.96/x
  3. Step 3: Cross multiply
    3,889.42x = 5,367.41 × 2,120.96
  4. Step 4: Simplify right side
    3,889.42x = 11,384,061.91
  5. Step 5: Solve for x
    x = 11,384,061.91/3,889.42
  6. Step 6: Final answer
    x = 2,926.93

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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.