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Finding the Fourth Proportional to 5,750.93, 7,939.91 and 3,764.84

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Solution

The fourth proportional to 5,750.93, 7,939.91 and 3,764.84 is: 5,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.93 : 7,939.91 = 3,764.84 : x
  2. Step 2: Convert to fraction form
    5,750.93/7,939.91 = 3,764.84/x
  3. Step 3: Cross multiply
    5,750.93x = 7,939.91 × 3,764.84
  4. Step 4: Simplify right side
    5,750.93x = 29,892,520.03
  5. Step 5: Solve for x
    x = 29,892,520.03/5,750.93
  6. Step 6: Final answer
    x = 5,197.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.