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Finding the Fourth Proportional to 3,380.94, 5,071.38 and 2,564.22

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Solution

The fourth proportional to 3,380.94, 5,071.38 and 2,564.22 is: 3,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.94 : 5,071.38 = 2,564.22 : x
  2. Step 2: Convert to fraction form
    3,380.94/5,071.38 = 2,564.22/x
  3. Step 3: Cross multiply
    3,380.94x = 5,071.38 × 2,564.22
  4. Step 4: Simplify right side
    3,380.94x = 13,004,143.43
  5. Step 5: Solve for x
    x = 13,004,143.43/3,380.94
  6. Step 6: Final answer
    x = 3,846.31

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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.