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Finding the Fourth Proportional to 3,824.03, 5,735.41 and 1,226.63

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Solution

The fourth proportional to 3,824.03, 5,735.41 and 1,226.63 is: 1,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.03 : 5,735.41 = 1,226.63 : x
  2. Step 2: Convert to fraction form
    3,824.03/5,735.41 = 1,226.63/x
  3. Step 3: Cross multiply
    3,824.03x = 5,735.41 × 1,226.63
  4. Step 4: Simplify right side
    3,824.03x = 7,035,194.22
  5. Step 5: Solve for x
    x = 7,035,194.22/3,824.03
  6. Step 6: Final answer
    x = 1,839.74

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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.