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Finding the Fourth Proportional to 3,893.29, 5,367.17 and 2,400.21

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Solution

The fourth proportional to 3,893.29, 5,367.17 and 2,400.21 is: 3,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.29 : 5,367.17 = 2,400.21 : x
  2. Step 2: Convert to fraction form
    3,893.29/5,367.17 = 2,400.21/x
  3. Step 3: Cross multiply
    3,893.29x = 5,367.17 × 2,400.21
  4. Step 4: Simplify right side
    3,893.29x = 12,882,341.11
  5. Step 5: Solve for x
    x = 12,882,341.11/3,893.29
  6. Step 6: Final answer
    x = 3,308.86

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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.