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Finding the Fourth Proportional to 3,997.45, 5,997.30 and 1,806.13

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Solution

The fourth proportional to 3,997.45, 5,997.30 and 1,806.13 is: 2,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.45 : 5,997.30 = 1,806.13 : x
  2. Step 2: Convert to fraction form
    3,997.45/5,997.30 = 1,806.13/x
  3. Step 3: Cross multiply
    3,997.45x = 5,997.30 × 1,806.13
  4. Step 4: Simplify right side
    3,997.45x = 10,831,903.45
  5. Step 5: Solve for x
    x = 10,831,903.45/3,997.45
  6. Step 6: Final answer
    x = 2,709.70

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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.