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Finding the Fourth Proportional to 3,836.41, 5,294.21 and 2,180.41

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Solution

The fourth proportional to 3,836.41, 5,294.21 and 2,180.41 is: 3,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.41 : 5,294.21 = 2,180.41 : x
  2. Step 2: Convert to fraction form
    3,836.41/5,294.21 = 2,180.41/x
  3. Step 3: Cross multiply
    3,836.41x = 5,294.21 × 2,180.41
  4. Step 4: Simplify right side
    3,836.41x = 11,543,521.96
  5. Step 5: Solve for x
    x = 11,543,521.96/3,836.41
  6. Step 6: Final answer
    x = 3,008.94

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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.