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Finding the Fourth Proportional to 3,974.74, 5,963.73 and 1,782.88

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Solution

The fourth proportional to 3,974.74, 5,963.73 and 1,782.88 is: 2,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.74 : 5,963.73 = 1,782.88 : x
  2. Step 2: Convert to fraction form
    3,974.74/5,963.73 = 1,782.88/x
  3. Step 3: Cross multiply
    3,974.74x = 5,963.73 × 1,782.88
  4. Step 4: Simplify right side
    3,974.74x = 10,632,614.94
  5. Step 5: Solve for x
    x = 10,632,614.94/3,974.74
  6. Step 6: Final answer
    x = 2,675.05

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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.