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Finding the Fourth Proportional to 6,578.26, 9,077.67 and 3,593.51

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Solution

The fourth proportional to 6,578.26, 9,077.67 and 3,593.51 is: 4,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.26 : 9,077.67 = 3,593.51 : x
  2. Step 2: Convert to fraction form
    6,578.26/9,077.67 = 3,593.51/x
  3. Step 3: Cross multiply
    6,578.26x = 9,077.67 × 3,593.51
  4. Step 4: Simplify right side
    6,578.26x = 32,620,737.64
  5. Step 5: Solve for x
    x = 32,620,737.64/6,578.26
  6. Step 6: Final answer
    x = 4,958.87

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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.