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Finding the Fourth Proportional to 3,865.32, 5,794.20 and 2,563.92

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Solution

The fourth proportional to 3,865.32, 5,794.20 and 2,563.92 is: 3,843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.32 : 5,794.20 = 2,563.92 : x
  2. Step 2: Convert to fraction form
    3,865.32/5,794.20 = 2,563.92/x
  3. Step 3: Cross multiply
    3,865.32x = 5,794.20 × 2,563.92
  4. Step 4: Simplify right side
    3,865.32x = 14,855,865.26
  5. Step 5: Solve for x
    x = 14,855,865.26/3,865.32
  6. Step 6: Final answer
    x = 3,843.37

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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.