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Finding the Fourth Proportional to 5,188.68, 7,782.54 and 2,067.86

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Solution

The fourth proportional to 5,188.68, 7,782.54 and 2,067.86 is: 3,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.68 : 7,782.54 = 2,067.86 : x
  2. Step 2: Convert to fraction form
    5,188.68/7,782.54 = 2,067.86/x
  3. Step 3: Cross multiply
    5,188.68x = 7,782.54 × 2,067.86
  4. Step 4: Simplify right side
    5,188.68x = 16,093,164.25
  5. Step 5: Solve for x
    x = 16,093,164.25/5,188.68
  6. Step 6: Final answer
    x = 3,101.59

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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.