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Finding the Fourth Proportional to 4,696.29, 6,480.87 and 2,706.83

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Solution

The fourth proportional to 4,696.29, 6,480.87 and 2,706.83 is: 3,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.29 : 6,480.87 = 2,706.83 : x
  2. Step 2: Convert to fraction form
    4,696.29/6,480.87 = 2,706.83/x
  3. Step 3: Cross multiply
    4,696.29x = 6,480.87 × 2,706.83
  4. Step 4: Simplify right side
    4,696.29x = 17,542,629.54
  5. Step 5: Solve for x
    x = 17,542,629.54/4,696.29
  6. Step 6: Final answer
    x = 3,735.42

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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.