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Finding the Fourth Proportional to 3,696.92, 5,102.22 and 2,104.18

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Solution

The fourth proportional to 3,696.92, 5,102.22 and 2,104.18 is: 2,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.92 : 5,102.22 = 2,104.18 : x
  2. Step 2: Convert to fraction form
    3,696.92/5,102.22 = 2,104.18/x
  3. Step 3: Cross multiply
    3,696.92x = 5,102.22 × 2,104.18
  4. Step 4: Simplify right side
    3,696.92x = 10,735,989.28
  5. Step 5: Solve for x
    x = 10,735,989.28/3,696.92
  6. Step 6: Final answer
    x = 2,904.04

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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.