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Finding the Fourth Proportional to 5,795.98, 8,694 and 4,072.30

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Solution

The fourth proportional to 5,795.98, 8,694 and 4,072.30 is: 6,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.98 : 8,694 = 4,072.30 : x
  2. Step 2: Convert to fraction form
    5,795.98/8,694 = 4,072.30/x
  3. Step 3: Cross multiply
    5,795.98x = 8,694 × 4,072.30
  4. Step 4: Simplify right side
    5,795.98x = 35,404,576.20
  5. Step 5: Solve for x
    x = 35,404,576.20/5,795.98
  6. Step 6: Final answer
    x = 6,108.47

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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.