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Finding the Fourth Proportional to 4,963.67, 6,849.35 and 2,974.17

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Solution

The fourth proportional to 4,963.67, 6,849.35 and 2,974.17 is: 4,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.67 : 6,849.35 = 2,974.17 : x
  2. Step 2: Convert to fraction form
    4,963.67/6,849.35 = 2,974.17/x
  3. Step 3: Cross multiply
    4,963.67x = 6,849.35 × 2,974.17
  4. Step 4: Simplify right side
    4,963.67x = 20,371,116.42
  5. Step 5: Solve for x
    x = 20,371,116.42/4,963.67
  6. Step 6: Final answer
    x = 4,104.05

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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.