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Finding the Fourth Proportional to 4,963.72, 6,849.43 and 2,974.23

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Solution

The fourth proportional to 4,963.72, 6,849.43 and 2,974.23 is: 4,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.72 : 6,849.43 = 2,974.23 : x
  2. Step 2: Convert to fraction form
    4,963.72/6,849.43 = 2,974.23/x
  3. Step 3: Cross multiply
    4,963.72x = 6,849.43 × 2,974.23
  4. Step 4: Simplify right side
    4,963.72x = 20,371,780.19
  5. Step 5: Solve for x
    x = 20,371,780.19/4,963.72
  6. Step 6: Final answer
    x = 4,104.14

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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.