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Finding the Fourth Proportional to 5,786.25, 8,680.85 and 1,682.25

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Solution

The fourth proportional to 5,786.25, 8,680.85 and 1,682.25 is: 2,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.25 : 8,680.85 = 1,682.25 : x
  2. Step 2: Convert to fraction form
    5,786.25/8,680.85 = 1,682.25/x
  3. Step 3: Cross multiply
    5,786.25x = 8,680.85 × 1,682.25
  4. Step 4: Simplify right side
    5,786.25x = 14,603,351.50
  5. Step 5: Solve for x
    x = 14,603,351.50/5,786.25
  6. Step 6: Final answer
    x = 2,523.80

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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.