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Finding the Fourth Proportional to 6,805.20, 10,210.20 and 2,422.80

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Solution

The fourth proportional to 6,805.20, 10,210.20 and 2,422.80 is: 3,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.20 : 10,210.20 = 2,422.80 : x
  2. Step 2: Convert to fraction form
    6,805.20/10,210.20 = 2,422.80/x
  3. Step 3: Cross multiply
    6,805.20x = 10,210.20 × 2,422.80
  4. Step 4: Simplify right side
    6,805.20x = 24,737,272.56
  5. Step 5: Solve for x
    x = 24,737,272.56/6,805.20
  6. Step 6: Final answer
    x = 3,635.05

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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.