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Finding the Fourth Proportional to 5,796.98, 8,695.50 and 4,073.30

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Solution

The fourth proportional to 5,796.98, 8,695.50 and 4,073.30 is: 6,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.98 : 8,695.50 = 4,073.30 : x
  2. Step 2: Convert to fraction form
    5,796.98/8,695.50 = 4,073.30/x
  3. Step 3: Cross multiply
    5,796.98x = 8,695.50 × 4,073.30
  4. Step 4: Simplify right side
    5,796.98x = 35,419,380.15
  5. Step 5: Solve for x
    x = 35,419,380.15/5,796.98
  6. Step 6: Final answer
    x = 6,109.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.