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Finding the Fourth Proportional to 3,932.82, 5,427.54 and 2,164.54

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Solution

The fourth proportional to 3,932.82, 5,427.54 and 2,164.54 is: 2,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.82 : 5,427.54 = 2,164.54 : x
  2. Step 2: Convert to fraction form
    3,932.82/5,427.54 = 2,164.54/x
  3. Step 3: Cross multiply
    3,932.82x = 5,427.54 × 2,164.54
  4. Step 4: Simplify right side
    3,932.82x = 11,748,127.43
  5. Step 5: Solve for x
    x = 11,748,127.43/3,932.82
  6. Step 6: Final answer
    x = 2,987.20

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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.