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Finding the Fourth Proportional to 3,696.12, 5,536.26 and 3,439.80

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Solution

The fourth proportional to 3,696.12, 5,536.26 and 3,439.80 is: 5,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.12 : 5,536.26 = 3,439.80 : x
  2. Step 2: Convert to fraction form
    3,696.12/5,536.26 = 3,439.80/x
  3. Step 3: Cross multiply
    3,696.12x = 5,536.26 × 3,439.80
  4. Step 4: Simplify right side
    3,696.12x = 19,043,627.15
  5. Step 5: Solve for x
    x = 19,043,627.15/3,696.12
  6. Step 6: Final answer
    x = 5,152.33

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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.