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Finding the Fourth Proportional to 3,482.01, 5,224.34 and 2,096.33

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Solution

The fourth proportional to 3,482.01, 5,224.34 and 2,096.33 is: 3,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.01 : 5,224.34 = 2,096.33 : x
  2. Step 2: Convert to fraction form
    3,482.01/5,224.34 = 2,096.33/x
  3. Step 3: Cross multiply
    3,482.01x = 5,224.34 × 2,096.33
  4. Step 4: Simplify right side
    3,482.01x = 10,951,940.67
  5. Step 5: Solve for x
    x = 10,951,940.67/3,482.01
  6. Step 6: Final answer
    x = 3,145.29

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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.