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Finding the Fourth Proportional to 3,289.60, 4,910.96 and 3,174.27

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Solution

The fourth proportional to 3,289.60, 4,910.96 and 3,174.27 is: 4,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.60 : 4,910.96 = 3,174.27 : x
  2. Step 2: Convert to fraction form
    3,289.60/4,910.96 = 3,174.27/x
  3. Step 3: Cross multiply
    3,289.60x = 4,910.96 × 3,174.27
  4. Step 4: Simplify right side
    3,289.60x = 15,588,713.00
  5. Step 5: Solve for x
    x = 15,588,713.00/3,289.60
  6. Step 6: Final answer
    x = 4,738.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.