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Finding the Fourth Proportional to 3,794.10, 5,236.86 and 3,400.44

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Solution

The fourth proportional to 3,794.10, 5,236.86 and 3,400.44 is: 4,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.10 : 5,236.86 = 3,400.44 : x
  2. Step 2: Convert to fraction form
    3,794.10/5,236.86 = 3,400.44/x
  3. Step 3: Cross multiply
    3,794.10x = 5,236.86 × 3,400.44
  4. Step 4: Simplify right side
    3,794.10x = 17,807,628.22
  5. Step 5: Solve for x
    x = 17,807,628.22/3,794.10
  6. Step 6: Final answer
    x = 4,693.51

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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.