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Finding the Fourth Proportional to 5,197.88, 7,796.81 and 2,079.29

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Solution

The fourth proportional to 5,197.88, 7,796.81 and 2,079.29 is: 3,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.88 : 7,796.81 = 2,079.29 : x
  2. Step 2: Convert to fraction form
    5,197.88/7,796.81 = 2,079.29/x
  3. Step 3: Cross multiply
    5,197.88x = 7,796.81 × 2,079.29
  4. Step 4: Simplify right side
    5,197.88x = 16,211,795.28
  5. Step 5: Solve for x
    x = 16,211,795.28/5,197.88
  6. Step 6: Final answer
    x = 3,118.93

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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.