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Finding the Fourth Proportional to 3,908.94, 5,863.41 and 1,172.94

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Solution

The fourth proportional to 3,908.94, 5,863.41 and 1,172.94 is: 1,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.94 : 5,863.41 = 1,172.94 : x
  2. Step 2: Convert to fraction form
    3,908.94/5,863.41 = 1,172.94/x
  3. Step 3: Cross multiply
    3,908.94x = 5,863.41 × 1,172.94
  4. Step 4: Simplify right side
    3,908.94x = 6,877,428.13
  5. Step 5: Solve for x
    x = 6,877,428.13/3,908.94
  6. Step 6: Final answer
    x = 1,759.41

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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.