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Finding the Fourth Proportional to 6,820.80, 10,221.84 and 3,527.20

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Solution

The fourth proportional to 6,820.80, 10,221.84 and 3,527.20 is: 5,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.80 : 10,221.84 = 3,527.20 : x
  2. Step 2: Convert to fraction form
    6,820.80/10,221.84 = 3,527.20/x
  3. Step 3: Cross multiply
    6,820.80x = 10,221.84 × 3,527.20
  4. Step 4: Simplify right side
    6,820.80x = 36,054,474.05
  5. Step 5: Solve for x
    x = 36,054,474.05/6,820.80
  6. Step 6: Final answer
    x = 5,285.96

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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.