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Finding the Fourth Proportional to 3,696.82, 5,099.16 and 2,686.84

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Solution

The fourth proportional to 3,696.82, 5,099.16 and 2,686.84 is: 3,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.82 : 5,099.16 = 2,686.84 : x
  2. Step 2: Convert to fraction form
    3,696.82/5,099.16 = 2,686.84/x
  3. Step 3: Cross multiply
    3,696.82x = 5,099.16 × 2,686.84
  4. Step 4: Simplify right side
    3,696.82x = 13,700,627.05
  5. Step 5: Solve for x
    x = 13,700,627.05/3,696.82
  6. Step 6: Final answer
    x = 3,706.06

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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.