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Finding the Fourth Proportional to 4,199.58, 5,796.63 and 2,806.38

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Solution

The fourth proportional to 4,199.58, 5,796.63 and 2,806.38 is: 3,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.58 : 5,796.63 = 2,806.38 : x
  2. Step 2: Convert to fraction form
    4,199.58/5,796.63 = 2,806.38/x
  3. Step 3: Cross multiply
    4,199.58x = 5,796.63 × 2,806.38
  4. Step 4: Simplify right side
    4,199.58x = 16,267,546.50
  5. Step 5: Solve for x
    x = 16,267,546.50/4,199.58
  6. Step 6: Final answer
    x = 3,873.61

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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.