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Finding the Fourth Proportional to 3,457.20, 5,185.80 and 3,226.80

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Solution

The fourth proportional to 3,457.20, 5,185.80 and 3,226.80 is: 4,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.20 : 5,185.80 = 3,226.80 : x
  2. Step 2: Convert to fraction form
    3,457.20/5,185.80 = 3,226.80/x
  3. Step 3: Cross multiply
    3,457.20x = 5,185.80 × 3,226.80
  4. Step 4: Simplify right side
    3,457.20x = 16,733,539.44
  5. Step 5: Solve for x
    x = 16,733,539.44/3,457.20
  6. Step 6: Final answer
    x = 4,840.20

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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.