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Finding the Fourth Proportional to 3,996.85, 5,996 and 1,223.47

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Solution

The fourth proportional to 3,996.85, 5,996 and 1,223.47 is: 1,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.85 : 5,996 = 1,223.47 : x
  2. Step 2: Convert to fraction form
    3,996.85/5,996 = 1,223.47/x
  3. Step 3: Cross multiply
    3,996.85x = 5,996 × 1,223.47
  4. Step 4: Simplify right side
    3,996.85x = 7,335,926.12
  5. Step 5: Solve for x
    x = 7,335,926.12/3,996.85
  6. Step 6: Final answer
    x = 1,835.43

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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.