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Finding the Fourth Proportional to 4,563.90, 6,843.23 and 1,787.33

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Solution

The fourth proportional to 4,563.90, 6,843.23 and 1,787.33 is: 2,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.90 : 6,843.23 = 1,787.33 : x
  2. Step 2: Convert to fraction form
    4,563.90/6,843.23 = 1,787.33/x
  3. Step 3: Cross multiply
    4,563.90x = 6,843.23 × 1,787.33
  4. Step 4: Simplify right side
    4,563.90x = 12,231,067.12
  5. Step 5: Solve for x
    x = 12,231,067.12/4,563.90
  6. Step 6: Final answer
    x = 2,679.96

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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.