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Finding the Fourth Proportional to 3,823.62, 5,735.52 and 1,226.58

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Solution

The fourth proportional to 3,823.62, 5,735.52 and 1,226.58 is: 1,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.62 : 5,735.52 = 1,226.58 : x
  2. Step 2: Convert to fraction form
    3,823.62/5,735.52 = 1,226.58/x
  3. Step 3: Cross multiply
    3,823.62x = 5,735.52 × 1,226.58
  4. Step 4: Simplify right side
    3,823.62x = 7,035,074.12
  5. Step 5: Solve for x
    x = 7,035,074.12/3,823.62
  6. Step 6: Final answer
    x = 1,839.90

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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.