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Finding the Fourth Proportional to 3,946.34, 5,447.68 and 2,771.78

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Solution

The fourth proportional to 3,946.34, 5,447.68 and 2,771.78 is: 3,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.34 : 5,447.68 = 2,771.78 : x
  2. Step 2: Convert to fraction form
    3,946.34/5,447.68 = 2,771.78/x
  3. Step 3: Cross multiply
    3,946.34x = 5,447.68 × 2,771.78
  4. Step 4: Simplify right side
    3,946.34x = 15,099,770.47
  5. Step 5: Solve for x
    x = 15,099,770.47/3,946.34
  6. Step 6: Final answer
    x = 3,826.27

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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.