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Finding the Fourth Proportional to 3,996.34, 5,994.92 and 1,533.22

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Solution

The fourth proportional to 3,996.34, 5,994.92 and 1,533.22 is: 2,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.34 : 5,994.92 = 1,533.22 : x
  2. Step 2: Convert to fraction form
    3,996.34/5,994.92 = 1,533.22/x
  3. Step 3: Cross multiply
    3,996.34x = 5,994.92 × 1,533.22
  4. Step 4: Simplify right side
    3,996.34x = 9,191,520.09
  5. Step 5: Solve for x
    x = 9,191,520.09/3,996.34
  6. Step 6: Final answer
    x = 2,299.99

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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.