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Finding the Fourth Proportional to 4,963.21, 6,849.97 and 2,974.25

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Solution

The fourth proportional to 4,963.21, 6,849.97 and 2,974.25 is: 4,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.21 : 6,849.97 = 2,974.25 : x
  2. Step 2: Convert to fraction form
    4,963.21/6,849.97 = 2,974.25/x
  3. Step 3: Cross multiply
    4,963.21x = 6,849.97 × 2,974.25
  4. Step 4: Simplify right side
    4,963.21x = 20,373,532.96
  5. Step 5: Solve for x
    x = 20,373,532.96/4,963.21
  6. Step 6: Final answer
    x = 4,104.91

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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.