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Finding the Fourth Proportional to 4,694.49, 7,047.84 and 3,144.42

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Solution

The fourth proportional to 4,694.49, 7,047.84 and 3,144.42 is: 4,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.49 : 7,047.84 = 3,144.42 : x
  2. Step 2: Convert to fraction form
    4,694.49/7,047.84 = 3,144.42/x
  3. Step 3: Cross multiply
    4,694.49x = 7,047.84 × 3,144.42
  4. Step 4: Simplify right side
    4,694.49x = 22,161,369.05
  5. Step 5: Solve for x
    x = 22,161,369.05/4,694.49
  6. Step 6: Final answer
    x = 4,720.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.