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Finding the Fourth Proportional to 3,997.61, 5,996.45 and 1,531.84

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Solution

The fourth proportional to 3,997.61, 5,996.45 and 1,531.84 is: 2,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.61 : 5,996.45 = 1,531.84 : x
  2. Step 2: Convert to fraction form
    3,997.61/5,996.45 = 1,531.84/x
  3. Step 3: Cross multiply
    3,997.61x = 5,996.45 × 1,531.84
  4. Step 4: Simplify right side
    3,997.61x = 9,185,579.32
  5. Step 5: Solve for x
    x = 9,185,579.32/3,997.61
  6. Step 6: Final answer
    x = 2,297.77

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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.