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Finding the Fourth Proportional to 3,932.66, 5,427.12 and 2,164.25

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Solution

The fourth proportional to 3,932.66, 5,427.12 and 2,164.25 is: 2,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.66 : 5,427.12 = 2,164.25 : x
  2. Step 2: Convert to fraction form
    3,932.66/5,427.12 = 2,164.25/x
  3. Step 3: Cross multiply
    3,932.66x = 5,427.12 × 2,164.25
  4. Step 4: Simplify right side
    3,932.66x = 11,745,617.32
  5. Step 5: Solve for x
    x = 11,745,617.32/3,932.66
  6. Step 6: Final answer
    x = 2,986.69

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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.