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Finding the Fourth Proportional to 3,846, 5,771.56 and 1,414

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Solution

The fourth proportional to 3,846, 5,771.56 and 1,414 is: 2,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846 : 5,771.56 = 1,414 : x
  2. Step 2: Convert to fraction form
    3,846/5,771.56 = 1,414/x
  3. Step 3: Cross multiply
    3,846x = 5,771.56 × 1,414
  4. Step 4: Simplify right side
    3,846x = 8,160,985.84
  5. Step 5: Solve for x
    x = 8,160,985.84/3,846
  6. Step 6: Final answer
    x = 2,121.94

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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.