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Finding the Fourth Proportional to 3,763.45, 5,194.09 and 3,133.07

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Solution

The fourth proportional to 3,763.45, 5,194.09 and 3,133.07 is: 4,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.45 : 5,194.09 = 3,133.07 : x
  2. Step 2: Convert to fraction form
    3,763.45/5,194.09 = 3,133.07/x
  3. Step 3: Cross multiply
    3,763.45x = 5,194.09 × 3,133.07
  4. Step 4: Simplify right side
    3,763.45x = 16,273,447.56
  5. Step 5: Solve for x
    x = 16,273,447.56/3,763.45
  6. Step 6: Final answer
    x = 4,324.08

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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.