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Finding the Fourth Proportional to 6,845.70, 10,266.73 and 2,949.20

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Solution

The fourth proportional to 6,845.70, 10,266.73 and 2,949.20 is: 4,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.70 : 10,266.73 = 2,949.20 : x
  2. Step 2: Convert to fraction form
    6,845.70/10,266.73 = 2,949.20/x
  3. Step 3: Cross multiply
    6,845.70x = 10,266.73 × 2,949.20
  4. Step 4: Simplify right side
    6,845.70x = 30,278,640.12
  5. Step 5: Solve for x
    x = 30,278,640.12/6,845.70
  6. Step 6: Final answer
    x = 4,423.02

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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.