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Finding the Fourth Proportional to 4,149.32, 6,227.74 and 3,709.88

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Solution

The fourth proportional to 4,149.32, 6,227.74 and 3,709.88 is: 5,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.32 : 6,227.74 = 3,709.88 : x
  2. Step 2: Convert to fraction form
    4,149.32/6,227.74 = 3,709.88/x
  3. Step 3: Cross multiply
    4,149.32x = 6,227.74 × 3,709.88
  4. Step 4: Simplify right side
    4,149.32x = 23,104,168.07
  5. Step 5: Solve for x
    x = 23,104,168.07/4,149.32
  6. Step 6: Final answer
    x = 5,568.18

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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.