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Finding the Fourth Proportional to 3,932.62, 5,426.90 and 2,164.19

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Solution

The fourth proportional to 3,932.62, 5,426.90 and 2,164.19 is: 2,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.62 : 5,426.90 = 2,164.19 : x
  2. Step 2: Convert to fraction form
    3,932.62/5,426.90 = 2,164.19/x
  3. Step 3: Cross multiply
    3,932.62x = 5,426.90 × 2,164.19
  4. Step 4: Simplify right side
    3,932.62x = 11,744,812.87
  5. Step 5: Solve for x
    x = 11,744,812.87/3,932.62
  6. Step 6: Final answer
    x = 2,986.51

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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.