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Finding the Fourth Proportional to 4,272.26, 6,408.26 and 1,194.26

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Solution

The fourth proportional to 4,272.26, 6,408.26 and 1,194.26 is: 1,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.26 : 6,408.26 = 1,194.26 : x
  2. Step 2: Convert to fraction form
    4,272.26/6,408.26 = 1,194.26/x
  3. Step 3: Cross multiply
    4,272.26x = 6,408.26 × 1,194.26
  4. Step 4: Simplify right side
    4,272.26x = 7,653,128.59
  5. Step 5: Solve for x
    x = 7,653,128.59/4,272.26
  6. Step 6: Final answer
    x = 1,791.35

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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.