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Finding the Fourth Proportional to 5,786.02, 8,679.93 and 1,889.02

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Solution

The fourth proportional to 5,786.02, 8,679.93 and 1,889.02 is: 2,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.02 : 8,679.93 = 1,889.02 : x
  2. Step 2: Convert to fraction form
    5,786.02/8,679.93 = 1,889.02/x
  3. Step 3: Cross multiply
    5,786.02x = 8,679.93 × 1,889.02
  4. Step 4: Simplify right side
    5,786.02x = 16,396,561.37
  5. Step 5: Solve for x
    x = 16,396,561.37/5,786.02
  6. Step 6: Final answer
    x = 2,833.82

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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.