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Finding the Fourth Proportional to 3,578.67, 5,367.14 and 2,796.74

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Solution

The fourth proportional to 3,578.67, 5,367.14 and 2,796.74 is: 4,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.67 : 5,367.14 = 2,796.74 : x
  2. Step 2: Convert to fraction form
    3,578.67/5,367.14 = 2,796.74/x
  3. Step 3: Cross multiply
    3,578.67x = 5,367.14 × 2,796.74
  4. Step 4: Simplify right side
    3,578.67x = 15,010,495.12
  5. Step 5: Solve for x
    x = 15,010,495.12/3,578.67
  6. Step 6: Final answer
    x = 4,194.43

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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.