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Finding the Fourth Proportional to 3,956.37, 5,459.71 and 2,163.80

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Solution

The fourth proportional to 3,956.37, 5,459.71 and 2,163.80 is: 2,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.37 : 5,459.71 = 2,163.80 : x
  2. Step 2: Convert to fraction form
    3,956.37/5,459.71 = 2,163.80/x
  3. Step 3: Cross multiply
    3,956.37x = 5,459.71 × 2,163.80
  4. Step 4: Simplify right side
    3,956.37x = 11,813,723.53
  5. Step 5: Solve for x
    x = 11,813,723.53/3,956.37
  6. Step 6: Final answer
    x = 2,986.00

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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.