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Finding the Fourth Proportional to 3,380.41, 4,664.97 and 2,387.41

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Solution

The fourth proportional to 3,380.41, 4,664.97 and 2,387.41 is: 3,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.41 : 4,664.97 = 2,387.41 : x
  2. Step 2: Convert to fraction form
    3,380.41/4,664.97 = 2,387.41/x
  3. Step 3: Cross multiply
    3,380.41x = 4,664.97 × 2,387.41
  4. Step 4: Simplify right side
    3,380.41x = 11,137,196.03
  5. Step 5: Solve for x
    x = 11,137,196.03/3,380.41
  6. Step 6: Final answer
    x = 3,294.63

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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.