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Finding the Fourth Proportional to 5,812.22, 8,020.90 and 3,422.32

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Solution

The fourth proportional to 5,812.22, 8,020.90 and 3,422.32 is: 4,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.22 : 8,020.90 = 3,422.32 : x
  2. Step 2: Convert to fraction form
    5,812.22/8,020.90 = 3,422.32/x
  3. Step 3: Cross multiply
    5,812.22x = 8,020.90 × 3,422.32
  4. Step 4: Simplify right side
    5,812.22x = 27,450,086.49
  5. Step 5: Solve for x
    x = 27,450,086.49/5,812.22
  6. Step 6: Final answer
    x = 4,722.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.