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Finding the Fourth Proportional to 5,310.69, 7,327.93 and 3,072.77

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Solution

The fourth proportional to 5,310.69, 7,327.93 and 3,072.77 is: 4,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.69 : 7,327.93 = 3,072.77 : x
  2. Step 2: Convert to fraction form
    5,310.69/7,327.93 = 3,072.77/x
  3. Step 3: Cross multiply
    5,310.69x = 7,327.93 × 3,072.77
  4. Step 4: Simplify right side
    5,310.69x = 22,517,067.62
  5. Step 5: Solve for x
    x = 22,517,067.62/5,310.69
  6. Step 6: Final answer
    x = 4,239.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.