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Finding the Fourth Proportional to 5,485.72, 8,223.72 and 4,192.96

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Solution

The fourth proportional to 5,485.72, 8,223.72 and 4,192.96 is: 6,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.72 : 8,223.72 = 4,192.96 : x
  2. Step 2: Convert to fraction form
    5,485.72/8,223.72 = 4,192.96/x
  3. Step 3: Cross multiply
    5,485.72x = 8,223.72 × 4,192.96
  4. Step 4: Simplify right side
    5,485.72x = 34,481,729.01
  5. Step 5: Solve for x
    x = 34,481,729.01/5,485.72
  6. Step 6: Final answer
    x = 6,285.73

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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.