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Finding the Fourth Proportional to 3,999.66, 5,997.21 and 1,532.94

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Solution

The fourth proportional to 3,999.66, 5,997.21 and 1,532.94 is: 2,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.66 : 5,997.21 = 1,532.94 : x
  2. Step 2: Convert to fraction form
    3,999.66/5,997.21 = 1,532.94/x
  3. Step 3: Cross multiply
    3,999.66x = 5,997.21 × 1,532.94
  4. Step 4: Simplify right side
    3,999.66x = 9,193,363.10
  5. Step 5: Solve for x
    x = 9,193,363.10/3,999.66
  6. Step 6: Final answer
    x = 2,298.54

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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.