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Finding the Fourth Proportional to 5,188.55, 7,781.67 and 2,067.98

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Solution

The fourth proportional to 5,188.55, 7,781.67 and 2,067.98 is: 3,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.55 : 7,781.67 = 2,067.98 : x
  2. Step 2: Convert to fraction form
    5,188.55/7,781.67 = 2,067.98/x
  3. Step 3: Cross multiply
    5,188.55x = 7,781.67 × 2,067.98
  4. Step 4: Simplify right side
    5,188.55x = 16,092,299.02
  5. Step 5: Solve for x
    x = 16,092,299.02/5,188.55
  6. Step 6: Final answer
    x = 3,101.51

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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.