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Finding the Fourth Proportional to 3,996.96, 5,995.62 and 1,223.46

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Solution

The fourth proportional to 3,996.96, 5,995.62 and 1,223.46 is: 1,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.96 : 5,995.62 = 1,223.46 : x
  2. Step 2: Convert to fraction form
    3,996.96/5,995.62 = 1,223.46/x
  3. Step 3: Cross multiply
    3,996.96x = 5,995.62 × 1,223.46
  4. Step 4: Simplify right side
    3,996.96x = 7,335,401.25
  5. Step 5: Solve for x
    x = 7,335,401.25/3,996.96
  6. Step 6: Final answer
    x = 1,835.25

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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.