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Finding the Fourth Proportional to 4,974.28, 6,862.72 and 2,849.25

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Solution

The fourth proportional to 4,974.28, 6,862.72 and 2,849.25 is: 3,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.28 : 6,862.72 = 2,849.25 : x
  2. Step 2: Convert to fraction form
    4,974.28/6,862.72 = 2,849.25/x
  3. Step 3: Cross multiply
    4,974.28x = 6,862.72 × 2,849.25
  4. Step 4: Simplify right side
    4,974.28x = 19,553,604.96
  5. Step 5: Solve for x
    x = 19,553,604.96/4,974.28
  6. Step 6: Final answer
    x = 3,930.94

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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.