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Finding the Fourth Proportional to 3,847.70, 5,772.36 and 2,287.10

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Solution

The fourth proportional to 3,847.70, 5,772.36 and 2,287.10 is: 3,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.70 : 5,772.36 = 2,287.10 : x
  2. Step 2: Convert to fraction form
    3,847.70/5,772.36 = 2,287.10/x
  3. Step 3: Cross multiply
    3,847.70x = 5,772.36 × 2,287.10
  4. Step 4: Simplify right side
    3,847.70x = 13,201,964.56
  5. Step 5: Solve for x
    x = 13,201,964.56/3,847.70
  6. Step 6: Final answer
    x = 3,431.13

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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.