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Finding the Fourth Proportional to 3,817.08, 5,264.46 and 3,229.56

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Solution

The fourth proportional to 3,817.08, 5,264.46 and 3,229.56 is: 4,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.08 : 5,264.46 = 3,229.56 : x
  2. Step 2: Convert to fraction form
    3,817.08/5,264.46 = 3,229.56/x
  3. Step 3: Cross multiply
    3,817.08x = 5,264.46 × 3,229.56
  4. Step 4: Simplify right side
    3,817.08x = 17,001,889.44
  5. Step 5: Solve for x
    x = 17,001,889.44/3,817.08
  6. Step 6: Final answer
    x = 4,454.16

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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.