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Finding the Fourth Proportional to 3,485.02, 5,231.04 and 2,027.02

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Solution

The fourth proportional to 3,485.02, 5,231.04 and 2,027.02 is: 3,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.02 : 5,231.04 = 2,027.02 : x
  2. Step 2: Convert to fraction form
    3,485.02/5,231.04 = 2,027.02/x
  3. Step 3: Cross multiply
    3,485.02x = 5,231.04 × 2,027.02
  4. Step 4: Simplify right side
    3,485.02x = 10,603,422.70
  5. Step 5: Solve for x
    x = 10,603,422.70/3,485.02
  6. Step 6: Final answer
    x = 3,042.57

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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.