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Finding the Fourth Proportional to 5,522.96, 8,283.24 and 1,824.31

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Solution

The fourth proportional to 5,522.96, 8,283.24 and 1,824.31 is: 2,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.96 : 8,283.24 = 1,824.31 : x
  2. Step 2: Convert to fraction form
    5,522.96/8,283.24 = 1,824.31/x
  3. Step 3: Cross multiply
    5,522.96x = 8,283.24 × 1,824.31
  4. Step 4: Simplify right side
    5,522.96x = 15,111,197.56
  5. Step 5: Solve for x
    x = 15,111,197.56/5,522.96
  6. Step 6: Final answer
    x = 2,736.07

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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.