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Finding the Fourth Proportional to 6,578.74, 9,850.47 and 3,791.26

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Solution

The fourth proportional to 6,578.74, 9,850.47 and 3,791.26 is: 5,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.74 : 9,850.47 = 3,791.26 : x
  2. Step 2: Convert to fraction form
    6,578.74/9,850.47 = 3,791.26/x
  3. Step 3: Cross multiply
    6,578.74x = 9,850.47 × 3,791.26
  4. Step 4: Simplify right side
    6,578.74x = 37,345,692.89
  5. Step 5: Solve for x
    x = 37,345,692.89/6,578.74
  6. Step 6: Final answer
    x = 5,676.72

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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.