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Finding the Fourth Proportional to 3,889.64, 5,367.74 and 2,121.21

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Solution

The fourth proportional to 3,889.64, 5,367.74 and 2,121.21 is: 2,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.64 : 5,367.74 = 2,121.21 : x
  2. Step 2: Convert to fraction form
    3,889.64/5,367.74 = 2,121.21/x
  3. Step 3: Cross multiply
    3,889.64x = 5,367.74 × 2,121.21
  4. Step 4: Simplify right side
    3,889.64x = 11,386,093.16
  5. Step 5: Solve for x
    x = 11,386,093.16/3,889.64
  6. Step 6: Final answer
    x = 2,927.29

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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.