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Finding the Fourth Proportional to 5,796.96, 7,999.94 and 3,278.95

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Solution

The fourth proportional to 5,796.96, 7,999.94 and 3,278.95 is: 4,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.96 : 7,999.94 = 3,278.95 : x
  2. Step 2: Convert to fraction form
    5,796.96/7,999.94 = 3,278.95/x
  3. Step 3: Cross multiply
    5,796.96x = 7,999.94 × 3,278.95
  4. Step 4: Simplify right side
    5,796.96x = 26,231,391.46
  5. Step 5: Solve for x
    x = 26,231,391.46/5,796.96
  6. Step 6: Final answer
    x = 4,525.03

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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.