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Finding the Fourth Proportional to 3,967.47, 5,951.22 and 1,194.15

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Solution

The fourth proportional to 3,967.47, 5,951.22 and 1,194.15 is: 1,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.47 : 5,951.22 = 1,194.15 : x
  2. Step 2: Convert to fraction form
    3,967.47/5,951.22 = 1,194.15/x
  3. Step 3: Cross multiply
    3,967.47x = 5,951.22 × 1,194.15
  4. Step 4: Simplify right side
    3,967.47x = 7,106,649.36
  5. Step 5: Solve for x
    x = 7,106,649.36/3,967.47
  6. Step 6: Final answer
    x = 1,791.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.