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Finding the Fourth Proportional to 3,932.64, 5,426.94 and 2,164.26

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Solution

The fourth proportional to 3,932.64, 5,426.94 and 2,164.26 is: 2,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.64 : 5,426.94 = 2,164.26 : x
  2. Step 2: Convert to fraction form
    3,932.64/5,426.94 = 2,164.26/x
  3. Step 3: Cross multiply
    3,932.64x = 5,426.94 × 2,164.26
  4. Step 4: Simplify right side
    3,932.64x = 11,745,309.16
  5. Step 5: Solve for x
    x = 11,745,309.16/3,932.64
  6. Step 6: Final answer
    x = 2,986.62

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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.