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Finding the Fourth Proportional to 5,835.89, 8,054.88 and 3,846.80

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Solution

The fourth proportional to 5,835.89, 8,054.88 and 3,846.80 is: 5,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.89 : 8,054.88 = 3,846.80 : x
  2. Step 2: Convert to fraction form
    5,835.89/8,054.88 = 3,846.80/x
  3. Step 3: Cross multiply
    5,835.89x = 8,054.88 × 3,846.80
  4. Step 4: Simplify right side
    5,835.89x = 30,985,512.38
  5. Step 5: Solve for x
    x = 30,985,512.38/5,835.89
  6. Step 6: Final answer
    x = 5,309.48

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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.