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Finding the Fourth Proportional to 3,927.82, 5,418.04 and 3,402.94

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Solution

The fourth proportional to 3,927.82, 5,418.04 and 3,402.94 is: 4,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.82 : 5,418.04 = 3,402.94 : x
  2. Step 2: Convert to fraction form
    3,927.82/5,418.04 = 3,402.94/x
  3. Step 3: Cross multiply
    3,927.82x = 5,418.04 × 3,402.94
  4. Step 4: Simplify right side
    3,927.82x = 18,437,265.04
  5. Step 5: Solve for x
    x = 18,437,265.04/3,927.82
  6. Step 6: Final answer
    x = 4,694.02

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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.