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Finding the Fourth Proportional to 4,273.56, 6,411.12 and 1,965

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Solution

The fourth proportional to 4,273.56, 6,411.12 and 1,965 is: 2,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.56 : 6,411.12 = 1,965 : x
  2. Step 2: Convert to fraction form
    4,273.56/6,411.12 = 1,965/x
  3. Step 3: Cross multiply
    4,273.56x = 6,411.12 × 1,965
  4. Step 4: Simplify right side
    4,273.56x = 12,597,850.80
  5. Step 5: Solve for x
    x = 12,597,850.80/4,273.56
  6. Step 6: Final answer
    x = 2,947.86

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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.