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Finding the Fourth Proportional to 5,731.65, 8,597.12 and 2,033.39

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Solution

The fourth proportional to 5,731.65, 8,597.12 and 2,033.39 is: 3,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.65 : 8,597.12 = 2,033.39 : x
  2. Step 2: Convert to fraction form
    5,731.65/8,597.12 = 2,033.39/x
  3. Step 3: Cross multiply
    5,731.65x = 8,597.12 × 2,033.39
  4. Step 4: Simplify right side
    5,731.65x = 17,481,287.67
  5. Step 5: Solve for x
    x = 17,481,287.67/5,731.65
  6. Step 6: Final answer
    x = 3,049.96

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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.