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Finding the Fourth Proportional to 4,209.20, 6,313.80 and 2,022.20

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Solution

The fourth proportional to 4,209.20, 6,313.80 and 2,022.20 is: 3,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.20 : 6,313.80 = 2,022.20 : x
  2. Step 2: Convert to fraction form
    4,209.20/6,313.80 = 2,022.20/x
  3. Step 3: Cross multiply
    4,209.20x = 6,313.80 × 2,022.20
  4. Step 4: Simplify right side
    4,209.20x = 12,767,766.36
  5. Step 5: Solve for x
    x = 12,767,766.36/4,209.20
  6. Step 6: Final answer
    x = 3,033.30

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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.