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Finding the Fourth Proportional to 5,222.90, 7,832.05 and 2,450.54

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Solution

The fourth proportional to 5,222.90, 7,832.05 and 2,450.54 is: 3,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.90 : 7,832.05 = 2,450.54 : x
  2. Step 2: Convert to fraction form
    5,222.90/7,832.05 = 2,450.54/x
  3. Step 3: Cross multiply
    5,222.90x = 7,832.05 × 2,450.54
  4. Step 4: Simplify right side
    5,222.90x = 19,192,751.81
  5. Step 5: Solve for x
    x = 19,192,751.81/5,222.90
  6. Step 6: Final answer
    x = 3,674.73

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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.