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Finding the Fourth Proportional to 5,912.90, 8,159.69 and 3,224.00

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Solution

The fourth proportional to 5,912.90, 8,159.69 and 3,224.00 is: 4,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.90 : 8,159.69 = 3,224.00 : x
  2. Step 2: Convert to fraction form
    5,912.90/8,159.69 = 3,224.00/x
  3. Step 3: Cross multiply
    5,912.90x = 8,159.69 × 3,224.00
  4. Step 4: Simplify right side
    5,912.90x = 26,306,850.88
  5. Step 5: Solve for x
    x = 26,306,850.88/5,912.90
  6. Step 6: Final answer
    x = 4,449.06

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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.