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Finding the Fourth Proportional to 5,914.71, 8,163.09 and 3,397.23

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Solution

The fourth proportional to 5,914.71, 8,163.09 and 3,397.23 is: 4,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.71 : 8,163.09 = 3,397.23 : x
  2. Step 2: Convert to fraction form
    5,914.71/8,163.09 = 3,397.23/x
  3. Step 3: Cross multiply
    5,914.71x = 8,163.09 × 3,397.23
  4. Step 4: Simplify right side
    5,914.71x = 27,731,894.24
  5. Step 5: Solve for x
    x = 27,731,894.24/5,914.71
  6. Step 6: Final answer
    x = 4,688.63

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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.