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Finding the Fourth Proportional to 3,956.30, 5,459.54 and 2,163.71

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Solution

The fourth proportional to 3,956.30, 5,459.54 and 2,163.71 is: 2,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.30 : 5,459.54 = 2,163.71 : x
  2. Step 2: Convert to fraction form
    3,956.30/5,459.54 = 2,163.71/x
  3. Step 3: Cross multiply
    3,956.30x = 5,459.54 × 2,163.71
  4. Step 4: Simplify right side
    3,956.30x = 11,812,864.12
  5. Step 5: Solve for x
    x = 11,812,864.12/3,956.30
  6. Step 6: Final answer
    x = 2,985.84

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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.