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Finding the Fourth Proportional to 3,384.32, 5,072.16 and 1,997.12

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Solution

The fourth proportional to 3,384.32, 5,072.16 and 1,997.12 is: 2,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.32 : 5,072.16 = 1,997.12 : x
  2. Step 2: Convert to fraction form
    3,384.32/5,072.16 = 1,997.12/x
  3. Step 3: Cross multiply
    3,384.32x = 5,072.16 × 1,997.12
  4. Step 4: Simplify right side
    3,384.32x = 10,129,712.18
  5. Step 5: Solve for x
    x = 10,129,712.18/3,384.32
  6. Step 6: Final answer
    x = 2,993.13

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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.