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Finding the Fourth Proportional to 3,965.96, 5,474.26 and 2,288.48

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Solution

The fourth proportional to 3,965.96, 5,474.26 and 2,288.48 is: 3,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.96 : 5,474.26 = 2,288.48 : x
  2. Step 2: Convert to fraction form
    3,965.96/5,474.26 = 2,288.48/x
  3. Step 3: Cross multiply
    3,965.96x = 5,474.26 × 2,288.48
  4. Step 4: Simplify right side
    3,965.96x = 12,527,734.52
  5. Step 5: Solve for x
    x = 12,527,734.52/3,965.96
  6. Step 6: Final answer
    x = 3,158.82

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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.