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Finding the Fourth Proportional to 3,870.20, 5,797.20 and 3,222.20

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Solution

The fourth proportional to 3,870.20, 5,797.20 and 3,222.20 is: 4,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.20 : 5,797.20 = 3,222.20 : x
  2. Step 2: Convert to fraction form
    3,870.20/5,797.20 = 3,222.20/x
  3. Step 3: Cross multiply
    3,870.20x = 5,797.20 × 3,222.20
  4. Step 4: Simplify right side
    3,870.20x = 18,679,737.84
  5. Step 5: Solve for x
    x = 18,679,737.84/3,870.20
  6. Step 6: Final answer
    x = 4,826.56

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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.