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Finding the Fourth Proportional to 3,995.96, 5,996.36 and 1,530.99

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Solution

The fourth proportional to 3,995.96, 5,996.36 and 1,530.99 is: 2,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.96 : 5,996.36 = 1,530.99 : x
  2. Step 2: Convert to fraction form
    3,995.96/5,996.36 = 1,530.99/x
  3. Step 3: Cross multiply
    3,995.96x = 5,996.36 × 1,530.99
  4. Step 4: Simplify right side
    3,995.96x = 9,180,371.02
  5. Step 5: Solve for x
    x = 9,180,371.02/3,995.96
  6. Step 6: Final answer
    x = 2,297.42

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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.