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Finding the Fourth Proportional to 5,899.40, 8,141.60 and 3,906.56

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Solution

The fourth proportional to 5,899.40, 8,141.60 and 3,906.56 is: 5,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.40 : 8,141.60 = 3,906.56 : x
  2. Step 2: Convert to fraction form
    5,899.40/8,141.60 = 3,906.56/x
  3. Step 3: Cross multiply
    5,899.40x = 8,141.60 × 3,906.56
  4. Step 4: Simplify right side
    5,899.40x = 31,805,648.90
  5. Step 5: Solve for x
    x = 31,805,648.90/5,899.40
  6. Step 6: Final answer
    x = 5,391.34

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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.