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Finding the Fourth Proportional to 5,216.26, 7,824.42 and 2,618.62

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Solution

The fourth proportional to 5,216.26, 7,824.42 and 2,618.62 is: 3,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.26 : 7,824.42 = 2,618.62 : x
  2. Step 2: Convert to fraction form
    5,216.26/7,824.42 = 2,618.62/x
  3. Step 3: Cross multiply
    5,216.26x = 7,824.42 × 2,618.62
  4. Step 4: Simplify right side
    5,216.26x = 20,489,182.70
  5. Step 5: Solve for x
    x = 20,489,182.70/5,216.26
  6. Step 6: Final answer
    x = 3,927.95

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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.