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Finding the Fourth Proportional to 3,878.19, 5,817.39 and 1,414.85

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Solution

The fourth proportional to 3,878.19, 5,817.39 and 1,414.85 is: 2,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.19 : 5,817.39 = 1,414.85 : x
  2. Step 2: Convert to fraction form
    3,878.19/5,817.39 = 1,414.85/x
  3. Step 3: Cross multiply
    3,878.19x = 5,817.39 × 1,414.85
  4. Step 4: Simplify right side
    3,878.19x = 8,230,705.15
  5. Step 5: Solve for x
    x = 8,230,705.15/3,878.19
  6. Step 6: Final answer
    x = 2,122.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.