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Finding the Fourth Proportional to 3,967.62, 5,952.29 and 1,194.08

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Solution

The fourth proportional to 3,967.62, 5,952.29 and 1,194.08 is: 1,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.62 : 5,952.29 = 1,194.08 : x
  2. Step 2: Convert to fraction form
    3,967.62/5,952.29 = 1,194.08/x
  3. Step 3: Cross multiply
    3,967.62x = 5,952.29 × 1,194.08
  4. Step 4: Simplify right side
    3,967.62x = 7,107,474.71
  5. Step 5: Solve for x
    x = 7,107,474.71/3,967.62
  6. Step 6: Final answer
    x = 1,791.37

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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.