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Finding the Fourth Proportional to 5,197.26, 7,799.58 and 4,029.96

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Solution

The fourth proportional to 5,197.26, 7,799.58 and 4,029.96 is: 6,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.26 : 7,799.58 = 4,029.96 : x
  2. Step 2: Convert to fraction form
    5,197.26/7,799.58 = 4,029.96/x
  3. Step 3: Cross multiply
    5,197.26x = 7,799.58 × 4,029.96
  4. Step 4: Simplify right side
    5,197.26x = 31,431,995.42
  5. Step 5: Solve for x
    x = 31,431,995.42/5,197.26
  6. Step 6: Final answer
    x = 6,047.80

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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.