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Finding the Fourth Proportional to 3,823.56, 5,735.52 and 1,226.34

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Solution

The fourth proportional to 3,823.56, 5,735.52 and 1,226.34 is: 1,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.56 : 5,735.52 = 1,226.34 : x
  2. Step 2: Convert to fraction form
    3,823.56/5,735.52 = 1,226.34/x
  3. Step 3: Cross multiply
    3,823.56x = 5,735.52 × 1,226.34
  4. Step 4: Simplify right side
    3,823.56x = 7,033,697.60
  5. Step 5: Solve for x
    x = 7,033,697.60/3,823.56
  6. Step 6: Final answer
    x = 1,839.57

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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.