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Finding the Fourth Proportional to 3,850.90, 5,311.84 and 2,277.88

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Solution

The fourth proportional to 3,850.90, 5,311.84 and 2,277.88 is: 3,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.90 : 5,311.84 = 2,277.88 : x
  2. Step 2: Convert to fraction form
    3,850.90/5,311.84 = 2,277.88/x
  3. Step 3: Cross multiply
    3,850.90x = 5,311.84 × 2,277.88
  4. Step 4: Simplify right side
    3,850.90x = 12,099,696.15
  5. Step 5: Solve for x
    x = 12,099,696.15/3,850.90
  6. Step 6: Final answer
    x = 3,142.05

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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.