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Finding the Fourth Proportional to 5,202.80, 7,804.20 and 3,453.20

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Solution

The fourth proportional to 5,202.80, 7,804.20 and 3,453.20 is: 5,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.80 : 7,804.20 = 3,453.20 : x
  2. Step 2: Convert to fraction form
    5,202.80/7,804.20 = 3,453.20/x
  3. Step 3: Cross multiply
    5,202.80x = 7,804.20 × 3,453.20
  4. Step 4: Simplify right side
    5,202.80x = 26,949,463.44
  5. Step 5: Solve for x
    x = 26,949,463.44/5,202.80
  6. Step 6: Final answer
    x = 5,179.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.