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Finding the Fourth Proportional to 5,796.34, 8,000.30 and 3,439.82

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Solution

The fourth proportional to 5,796.34, 8,000.30 and 3,439.82 is: 4,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.34 : 8,000.30 = 3,439.82 : x
  2. Step 2: Convert to fraction form
    5,796.34/8,000.30 = 3,439.82/x
  3. Step 3: Cross multiply
    5,796.34x = 8,000.30 × 3,439.82
  4. Step 4: Simplify right side
    5,796.34x = 27,519,591.95
  5. Step 5: Solve for x
    x = 27,519,591.95/5,796.34
  6. Step 6: Final answer
    x = 4,747.75

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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.