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Finding the Fourth Proportional to 5,218.69, 7,824.31 and 2,443.84

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Solution

The fourth proportional to 5,218.69, 7,824.31 and 2,443.84 is: 3,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.69 : 7,824.31 = 2,443.84 : x
  2. Step 2: Convert to fraction form
    5,218.69/7,824.31 = 2,443.84/x
  3. Step 3: Cross multiply
    5,218.69x = 7,824.31 × 2,443.84
  4. Step 4: Simplify right side
    5,218.69x = 19,121,361.75
  5. Step 5: Solve for x
    x = 19,121,361.75/5,218.69
  6. Step 6: Final answer
    x = 3,664.02

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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.