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Finding the Fourth Proportional to 3,847.59, 5,770.85 and 1,382.04

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Solution

The fourth proportional to 3,847.59, 5,770.85 and 1,382.04 is: 2,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.59 : 5,770.85 = 1,382.04 : x
  2. Step 2: Convert to fraction form
    3,847.59/5,770.85 = 1,382.04/x
  3. Step 3: Cross multiply
    3,847.59x = 5,770.85 × 1,382.04
  4. Step 4: Simplify right side
    3,847.59x = 7,975,538.62
  5. Step 5: Solve for x
    x = 7,975,538.62/3,847.59
  6. Step 6: Final answer
    x = 2,072.87

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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.