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Finding the Fourth Proportional to 3,847.41, 5,759.31 and 2,807.16

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Solution

The fourth proportional to 3,847.41, 5,759.31 and 2,807.16 is: 4,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.41 : 5,759.31 = 2,807.16 : x
  2. Step 2: Convert to fraction form
    3,847.41/5,759.31 = 2,807.16/x
  3. Step 3: Cross multiply
    3,847.41x = 5,759.31 × 2,807.16
  4. Step 4: Simplify right side
    3,847.41x = 16,167,304.66
  5. Step 5: Solve for x
    x = 16,167,304.66/3,847.41
  6. Step 6: Final answer
    x = 4,202.13

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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.