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Finding the Fourth Proportional to 3,906.48, 5,391.42 and 2,334.60

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Solution

The fourth proportional to 3,906.48, 5,391.42 and 2,334.60 is: 3,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.48 : 5,391.42 = 2,334.60 : x
  2. Step 2: Convert to fraction form
    3,906.48/5,391.42 = 2,334.60/x
  3. Step 3: Cross multiply
    3,906.48x = 5,391.42 × 2,334.60
  4. Step 4: Simplify right side
    3,906.48x = 12,586,809.13
  5. Step 5: Solve for x
    x = 12,586,809.13/3,906.48
  6. Step 6: Final answer
    x = 3,222.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.