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Finding the Fourth Proportional to 4,115.52, 6,173.69 and 1,194.26

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Solution

The fourth proportional to 4,115.52, 6,173.69 and 1,194.26 is: 1,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.52 : 6,173.69 = 1,194.26 : x
  2. Step 2: Convert to fraction form
    4,115.52/6,173.69 = 1,194.26/x
  3. Step 3: Cross multiply
    4,115.52x = 6,173.69 × 1,194.26
  4. Step 4: Simplify right side
    4,115.52x = 7,372,954.18
  5. Step 5: Solve for x
    x = 7,372,954.18/4,115.52
  6. Step 6: Final answer
    x = 1,791.50

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Why These Related Problems?

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