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Finding the Fourth Proportional to 3,932.63, 5,427.05 and 2,164.22

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Solution

The fourth proportional to 3,932.63, 5,427.05 and 2,164.22 is: 2,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.63 : 5,427.05 = 2,164.22 : x
  2. Step 2: Convert to fraction form
    3,932.63/5,427.05 = 2,164.22/x
  3. Step 3: Cross multiply
    3,932.63x = 5,427.05 × 2,164.22
  4. Step 4: Simplify right side
    3,932.63x = 11,745,330.15
  5. Step 5: Solve for x
    x = 11,745,330.15/3,932.63
  6. Step 6: Final answer
    x = 2,986.63

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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.