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Finding the Fourth Proportional to 5,796.90, 7,999.17 and 3,438.60

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Solution

The fourth proportional to 5,796.90, 7,999.17 and 3,438.60 is: 4,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.90 : 7,999.17 = 3,438.60 : x
  2. Step 2: Convert to fraction form
    5,796.90/7,999.17 = 3,438.60/x
  3. Step 3: Cross multiply
    5,796.90x = 7,999.17 × 3,438.60
  4. Step 4: Simplify right side
    5,796.90x = 27,505,945.96
  5. Step 5: Solve for x
    x = 27,505,945.96/5,796.90
  6. Step 6: Final answer
    x = 4,744.94

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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.