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Finding the Fourth Proportional to 3,958.46, 5,462.44 and 2,189.96

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Solution

The fourth proportional to 3,958.46, 5,462.44 and 2,189.96 is: 3,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.46 : 5,462.44 = 2,189.96 : x
  2. Step 2: Convert to fraction form
    3,958.46/5,462.44 = 2,189.96/x
  3. Step 3: Cross multiply
    3,958.46x = 5,462.44 × 2,189.96
  4. Step 4: Simplify right side
    3,958.46x = 11,962,525.10
  5. Step 5: Solve for x
    x = 11,962,525.10/3,958.46
  6. Step 6: Final answer
    x = 3,022.01

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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.