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Finding the Fourth Proportional to 5,961.60, 8,942.40 and 2,843.10

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Solution

The fourth proportional to 5,961.60, 8,942.40 and 2,843.10 is: 4,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.60 : 8,942.40 = 2,843.10 : x
  2. Step 2: Convert to fraction form
    5,961.60/8,942.40 = 2,843.10/x
  3. Step 3: Cross multiply
    5,961.60x = 8,942.40 × 2,843.10
  4. Step 4: Simplify right side
    5,961.60x = 25,424,137.44
  5. Step 5: Solve for x
    x = 25,424,137.44/5,961.60
  6. Step 6: Final answer
    x = 4,264.65

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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.