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Finding the Fourth Proportional to 3,953.70, 5,452.74 and 2,961.30

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Solution

The fourth proportional to 3,953.70, 5,452.74 and 2,961.30 is: 4,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.70 : 5,452.74 = 2,961.30 : x
  2. Step 2: Convert to fraction form
    3,953.70/5,452.74 = 2,961.30/x
  3. Step 3: Cross multiply
    3,953.70x = 5,452.74 × 2,961.30
  4. Step 4: Simplify right side
    3,953.70x = 16,147,198.96
  5. Step 5: Solve for x
    x = 16,147,198.96/3,953.70
  6. Step 6: Final answer
    x = 4,084.07

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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.