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Finding the Fourth Proportional to 4,165.38, 6,223.68 and 4,020.12

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Solution

The fourth proportional to 4,165.38, 6,223.68 and 4,020.12 is: 6,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.38 : 6,223.68 = 4,020.12 : x
  2. Step 2: Convert to fraction form
    4,165.38/6,223.68 = 4,020.12/x
  3. Step 3: Cross multiply
    4,165.38x = 6,223.68 × 4,020.12
  4. Step 4: Simplify right side
    4,165.38x = 25,019,940.44
  5. Step 5: Solve for x
    x = 25,019,940.44/4,165.38
  6. Step 6: Final answer
    x = 6,006.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.