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Finding the Fourth Proportional to 4,003.24, 5,996.06 and 3,302

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Solution

The fourth proportional to 4,003.24, 5,996.06 and 3,302 is: 4,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.24 : 5,996.06 = 3,302 : x
  2. Step 2: Convert to fraction form
    4,003.24/5,996.06 = 3,302/x
  3. Step 3: Cross multiply
    4,003.24x = 5,996.06 × 3,302
  4. Step 4: Simplify right side
    4,003.24x = 19,798,990.12
  5. Step 5: Solve for x
    x = 19,798,990.12/4,003.24
  6. Step 6: Final answer
    x = 4,945.74

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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.