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Finding the Fourth Proportional to 3,932.52, 5,426.82 and 2,164.08

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Solution

The fourth proportional to 3,932.52, 5,426.82 and 2,164.08 is: 2,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.52 : 5,426.82 = 2,164.08 : x
  2. Step 2: Convert to fraction form
    3,932.52/5,426.82 = 2,164.08/x
  3. Step 3: Cross multiply
    3,932.52x = 5,426.82 × 2,164.08
  4. Step 4: Simplify right side
    3,932.52x = 11,744,072.63
  5. Step 5: Solve for x
    x = 11,744,072.63/3,932.52
  6. Step 6: Final answer
    x = 2,986.40

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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.