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Finding the Fourth Proportional to 3,804.97, 5,708.30 and 1,172.71

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Solution

The fourth proportional to 3,804.97, 5,708.30 and 1,172.71 is: 1,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.97 : 5,708.30 = 1,172.71 : x
  2. Step 2: Convert to fraction form
    3,804.97/5,708.30 = 1,172.71/x
  3. Step 3: Cross multiply
    3,804.97x = 5,708.30 × 1,172.71
  4. Step 4: Simplify right side
    3,804.97x = 6,694,180.49
  5. Step 5: Solve for x
    x = 6,694,180.49/3,804.97
  6. Step 6: Final answer
    x = 1,759.33

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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.