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Finding the Fourth Proportional to 3,958.29, 5,462.06 and 2,189.83

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Solution

The fourth proportional to 3,958.29, 5,462.06 and 2,189.83 is: 3,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.29 : 5,462.06 = 2,189.83 : x
  2. Step 2: Convert to fraction form
    3,958.29/5,462.06 = 2,189.83/x
  3. Step 3: Cross multiply
    3,958.29x = 5,462.06 × 2,189.83
  4. Step 4: Simplify right side
    3,958.29x = 11,960,988.32
  5. Step 5: Solve for x
    x = 11,960,988.32/3,958.29
  6. Step 6: Final answer
    x = 3,021.76

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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.