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Finding the Fourth Proportional to 3,794.12, 5,683.50 and 1,844.84

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Solution

The fourth proportional to 3,794.12, 5,683.50 and 1,844.84 is: 2,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.12 : 5,683.50 = 1,844.84 : x
  2. Step 2: Convert to fraction form
    3,794.12/5,683.50 = 1,844.84/x
  3. Step 3: Cross multiply
    3,794.12x = 5,683.50 × 1,844.84
  4. Step 4: Simplify right side
    3,794.12x = 10,485,148.14
  5. Step 5: Solve for x
    x = 10,485,148.14/3,794.12
  6. Step 6: Final answer
    x = 2,763.53

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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.