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Finding the Fourth Proportional to 4,202.80, 6,306.20 and 2,816.80

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Solution

The fourth proportional to 4,202.80, 6,306.20 and 2,816.80 is: 4,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.80 : 6,306.20 = 2,816.80 : x
  2. Step 2: Convert to fraction form
    4,202.80/6,306.20 = 2,816.80/x
  3. Step 3: Cross multiply
    4,202.80x = 6,306.20 × 2,816.80
  4. Step 4: Simplify right side
    4,202.80x = 17,763,304.16
  5. Step 5: Solve for x
    x = 17,763,304.16/4,202.80
  6. Step 6: Final answer
    x = 4,226.54

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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.