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Finding the Fourth Proportional to 3,763.68, 5,194.49 and 2,271.82

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Solution

The fourth proportional to 3,763.68, 5,194.49 and 2,271.82 is: 3,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.68 : 5,194.49 = 2,271.82 : x
  2. Step 2: Convert to fraction form
    3,763.68/5,194.49 = 2,271.82/x
  3. Step 3: Cross multiply
    3,763.68x = 5,194.49 × 2,271.82
  4. Step 4: Simplify right side
    3,763.68x = 11,800,946.27
  5. Step 5: Solve for x
    x = 11,800,946.27/3,763.68
  6. Step 6: Final answer
    x = 3,135.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.