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Finding the Fourth Proportional to 3,197.92, 4,379.24 and 3,020.32

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Solution

The fourth proportional to 3,197.92, 4,379.24 and 3,020.32 is: 4,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.92 : 4,379.24 = 3,020.32 : x
  2. Step 2: Convert to fraction form
    3,197.92/4,379.24 = 3,020.32/x
  3. Step 3: Cross multiply
    3,197.92x = 4,379.24 × 3,020.32
  4. Step 4: Simplify right side
    3,197.92x = 13,226,706.16
  5. Step 5: Solve for x
    x = 13,226,706.16/3,197.92
  6. Step 6: Final answer
    x = 4,136.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.