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Finding the Fourth Proportional to 3,431.20, 5,147.04 and 2,783.20

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Solution

The fourth proportional to 3,431.20, 5,147.04 and 2,783.20 is: 4,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.20 : 5,147.04 = 2,783.20 : x
  2. Step 2: Convert to fraction form
    3,431.20/5,147.04 = 2,783.20/x
  3. Step 3: Cross multiply
    3,431.20x = 5,147.04 × 2,783.20
  4. Step 4: Simplify right side
    3,431.20x = 14,325,241.73
  5. Step 5: Solve for x
    x = 14,325,241.73/3,431.20
  6. Step 6: Final answer
    x = 4,174.99

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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.