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Finding the Fourth Proportional to 5,731.63, 8,597.09 and 2,033.37

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Solution

The fourth proportional to 5,731.63, 8,597.09 and 2,033.37 is: 3,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.63 : 8,597.09 = 2,033.37 : x
  2. Step 2: Convert to fraction form
    5,731.63/8,597.09 = 2,033.37/x
  3. Step 3: Cross multiply
    5,731.63x = 8,597.09 × 2,033.37
  4. Step 4: Simplify right side
    5,731.63x = 17,481,102.22
  5. Step 5: Solve for x
    x = 17,481,102.22/5,731.63
  6. Step 6: Final answer
    x = 3,049.93

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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.