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Finding the Fourth Proportional to 3,512.02, 5,268.03 and 1,974.10

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Solution

The fourth proportional to 3,512.02, 5,268.03 and 1,974.10 is: 2,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.02 : 5,268.03 = 1,974.10 : x
  2. Step 2: Convert to fraction form
    3,512.02/5,268.03 = 1,974.10/x
  3. Step 3: Cross multiply
    3,512.02x = 5,268.03 × 1,974.10
  4. Step 4: Simplify right side
    3,512.02x = 10,399,618.02
  5. Step 5: Solve for x
    x = 10,399,618.02/3,512.02
  6. Step 6: Final answer
    x = 2,961.15

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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.