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Finding the Fourth Proportional to 4,682.20, 7,022.44 and 1,720

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Solution

The fourth proportional to 4,682.20, 7,022.44 and 1,720 is: 2,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.20 : 7,022.44 = 1,720 : x
  2. Step 2: Convert to fraction form
    4,682.20/7,022.44 = 1,720/x
  3. Step 3: Cross multiply
    4,682.20x = 7,022.44 × 1,720
  4. Step 4: Simplify right side
    4,682.20x = 12,078,596.80
  5. Step 5: Solve for x
    x = 12,078,596.80/4,682.20
  6. Step 6: Final answer
    x = 2,579.68

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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.