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Finding the Fourth Proportional to 3,900.56, 5,847.37 and 1,434.79

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Solution

The fourth proportional to 3,900.56, 5,847.37 and 1,434.79 is: 2,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.56 : 5,847.37 = 1,434.79 : x
  2. Step 2: Convert to fraction form
    3,900.56/5,847.37 = 1,434.79/x
  3. Step 3: Cross multiply
    3,900.56x = 5,847.37 × 1,434.79
  4. Step 4: Simplify right side
    3,900.56x = 8,389,729.80
  5. Step 5: Solve for x
    x = 8,389,729.80/3,900.56
  6. Step 6: Final answer
    x = 2,150.90

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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.