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Finding the Fourth Proportional to 3,927.52, 5,414.95 and 3,216.75

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Solution

The fourth proportional to 3,927.52, 5,414.95 and 3,216.75 is: 4,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.52 : 5,414.95 = 3,216.75 : x
  2. Step 2: Convert to fraction form
    3,927.52/5,414.95 = 3,216.75/x
  3. Step 3: Cross multiply
    3,927.52x = 5,414.95 × 3,216.75
  4. Step 4: Simplify right side
    3,927.52x = 17,418,540.41
  5. Step 5: Solve for x
    x = 17,418,540.41/3,927.52
  6. Step 6: Final answer
    x = 4,435.00

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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.