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Finding the Fourth Proportional to 5,796.46, 8,020.20 and 5,051.97

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Solution

The fourth proportional to 5,796.46, 8,020.20 and 5,051.97 is: 6,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.46 : 8,020.20 = 5,051.97 : x
  2. Step 2: Convert to fraction form
    5,796.46/8,020.20 = 5,051.97/x
  3. Step 3: Cross multiply
    5,796.46x = 8,020.20 × 5,051.97
  4. Step 4: Simplify right side
    5,796.46x = 40,517,769.69
  5. Step 5: Solve for x
    x = 40,517,769.69/5,796.46
  6. Step 6: Final answer
    x = 6,990.09

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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.