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Finding the Fourth Proportional to 3,847.20, 5,770.80 and 3,685.20

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Solution

The fourth proportional to 3,847.20, 5,770.80 and 3,685.20 is: 5,527.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.20 : 5,770.80 = 3,685.20 : x
  2. Step 2: Convert to fraction form
    3,847.20/5,770.80 = 3,685.20/x
  3. Step 3: Cross multiply
    3,847.20x = 5,770.80 × 3,685.20
  4. Step 4: Simplify right side
    3,847.20x = 21,266,552.16
  5. Step 5: Solve for x
    x = 21,266,552.16/3,847.20
  6. Step 6: Final answer
    x = 5,527.80

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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.