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Finding the Fourth Proportional to 4,734.44, 7,103.67 and 1,963.12

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Solution

The fourth proportional to 4,734.44, 7,103.67 and 1,963.12 is: 2,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.44 : 7,103.67 = 1,963.12 : x
  2. Step 2: Convert to fraction form
    4,734.44/7,103.67 = 1,963.12/x
  3. Step 3: Cross multiply
    4,734.44x = 7,103.67 × 1,963.12
  4. Step 4: Simplify right side
    4,734.44x = 13,945,356.65
  5. Step 5: Solve for x
    x = 13,945,356.65/4,734.44
  6. Step 6: Final answer
    x = 2,945.51

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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.