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Finding the Fourth Proportional to 3,474.71, 5,212.07 and 1,627.13

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Solution

The fourth proportional to 3,474.71, 5,212.07 and 1,627.13 is: 2,440.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.71 : 5,212.07 = 1,627.13 : x
  2. Step 2: Convert to fraction form
    3,474.71/5,212.07 = 1,627.13/x
  3. Step 3: Cross multiply
    3,474.71x = 5,212.07 × 1,627.13
  4. Step 4: Simplify right side
    3,474.71x = 8,480,694.38
  5. Step 5: Solve for x
    x = 8,480,694.38/3,474.71
  6. Step 6: Final answer
    x = 2,440.69

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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.