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Finding the Fourth Proportional to 5,717.86, 8,578.71 and 2,253.22

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Solution

The fourth proportional to 5,717.86, 8,578.71 and 2,253.22 is: 3,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.86 : 8,578.71 = 2,253.22 : x
  2. Step 2: Convert to fraction form
    5,717.86/8,578.71 = 2,253.22/x
  3. Step 3: Cross multiply
    5,717.86x = 8,578.71 × 2,253.22
  4. Step 4: Simplify right side
    5,717.86x = 19,329,720.95
  5. Step 5: Solve for x
    x = 19,329,720.95/5,717.86
  6. Step 6: Final answer
    x = 3,380.59

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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.