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Finding the Fourth Proportional to 3,763.91, 5,194.42 and 2,272.07

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Solution

The fourth proportional to 3,763.91, 5,194.42 and 2,272.07 is: 3,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.91 : 5,194.42 = 2,272.07 : x
  2. Step 2: Convert to fraction form
    3,763.91/5,194.42 = 2,272.07/x
  3. Step 3: Cross multiply
    3,763.91x = 5,194.42 × 2,272.07
  4. Step 4: Simplify right side
    3,763.91x = 11,802,054.20
  5. Step 5: Solve for x
    x = 11,802,054.20/3,763.91
  6. Step 6: Final answer
    x = 3,135.59

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