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Finding the Fourth Proportional to 3,996.09, 5,994.57 and 1,533

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Solution

The fourth proportional to 3,996.09, 5,994.57 and 1,533 is: 2,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.09 : 5,994.57 = 1,533 : x
  2. Step 2: Convert to fraction form
    3,996.09/5,994.57 = 1,533/x
  3. Step 3: Cross multiply
    3,996.09x = 5,994.57 × 1,533
  4. Step 4: Simplify right side
    3,996.09x = 9,189,675.81
  5. Step 5: Solve for x
    x = 9,189,675.81/3,996.09
  6. Step 6: Final answer
    x = 2,299.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.