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Finding the Fourth Proportional to 5,222.86, 7,828.82 and 2,447.18

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Solution

The fourth proportional to 5,222.86, 7,828.82 and 2,447.18 is: 3,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.86 : 7,828.82 = 2,447.18 : x
  2. Step 2: Convert to fraction form
    5,222.86/7,828.82 = 2,447.18/x
  3. Step 3: Cross multiply
    5,222.86x = 7,828.82 × 2,447.18
  4. Step 4: Simplify right side
    5,222.86x = 19,158,531.73
  5. Step 5: Solve for x
    x = 19,158,531.73/5,222.86
  6. Step 6: Final answer
    x = 3,668.21

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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.