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Finding the Fourth Proportional to 5,231.22, 7,847.99 and 1,722.31

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Solution

The fourth proportional to 5,231.22, 7,847.99 and 1,722.31 is: 2,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.22 : 7,847.99 = 1,722.31 : x
  2. Step 2: Convert to fraction form
    5,231.22/7,847.99 = 1,722.31/x
  3. Step 3: Cross multiply
    5,231.22x = 7,847.99 × 1,722.31
  4. Step 4: Simplify right side
    5,231.22x = 13,516,643.43
  5. Step 5: Solve for x
    x = 13,516,643.43/5,231.22
  6. Step 6: Final answer
    x = 2,583.84

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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.