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Finding the Fourth Proportional to 5,736.37, 8,605.33 and 1,787.90

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Solution

The fourth proportional to 5,736.37, 8,605.33 and 1,787.90 is: 2,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.37 : 8,605.33 = 1,787.90 : x
  2. Step 2: Convert to fraction form
    5,736.37/8,605.33 = 1,787.90/x
  3. Step 3: Cross multiply
    5,736.37x = 8,605.33 × 1,787.90
  4. Step 4: Simplify right side
    5,736.37x = 15,385,469.51
  5. Step 5: Solve for x
    x = 15,385,469.51/5,736.37
  6. Step 6: Final answer
    x = 2,682.09

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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.