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Finding the Fourth Proportional to 5,223.57, 7,832.19 and 2,057.22

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Solution

The fourth proportional to 5,223.57, 7,832.19 and 2,057.22 is: 3,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.57 : 7,832.19 = 2,057.22 : x
  2. Step 2: Convert to fraction form
    5,223.57/7,832.19 = 2,057.22/x
  3. Step 3: Cross multiply
    5,223.57x = 7,832.19 × 2,057.22
  4. Step 4: Simplify right side
    5,223.57x = 16,112,537.91
  5. Step 5: Solve for x
    x = 16,112,537.91/5,223.57
  6. Step 6: Final answer
    x = 3,084.58

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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.