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Finding the Fourth Proportional to 4,963.87, 7,446.26 and 1,453.89

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Solution

The fourth proportional to 4,963.87, 7,446.26 and 1,453.89 is: 2,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.87 : 7,446.26 = 1,453.89 : x
  2. Step 2: Convert to fraction form
    4,963.87/7,446.26 = 1,453.89/x
  3. Step 3: Cross multiply
    4,963.87x = 7,446.26 × 1,453.89
  4. Step 4: Simplify right side
    4,963.87x = 10,826,042.95
  5. Step 5: Solve for x
    x = 10,826,042.95/4,963.87
  6. Step 6: Final answer
    x = 2,180.97

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Why These Related Problems?

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