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Finding the Fourth Proportional to 3,430.44, 5,135.94 and 3,270.60

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Solution

The fourth proportional to 3,430.44, 5,135.94 and 3,270.60 is: 4,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.44 : 5,135.94 = 3,270.60 : x
  2. Step 2: Convert to fraction form
    3,430.44/5,135.94 = 3,270.60/x
  3. Step 3: Cross multiply
    3,430.44x = 5,135.94 × 3,270.60
  4. Step 4: Simplify right side
    3,430.44x = 16,797,605.36
  5. Step 5: Solve for x
    x = 16,797,605.36/3,430.44
  6. Step 6: Final answer
    x = 4,896.63

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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.