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Finding the Fourth Proportional to 3,379.42, 5,067.06 and 1,188.40

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Solution

The fourth proportional to 3,379.42, 5,067.06 and 1,188.40 is: 1,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.42 : 5,067.06 = 1,188.40 : x
  2. Step 2: Convert to fraction form
    3,379.42/5,067.06 = 1,188.40/x
  3. Step 3: Cross multiply
    3,379.42x = 5,067.06 × 1,188.40
  4. Step 4: Simplify right side
    3,379.42x = 6,021,694.10
  5. Step 5: Solve for x
    x = 6,021,694.10/3,379.42
  6. Step 6: Final answer
    x = 1,781.87

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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.