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Finding the Fourth Proportional to 4,792, 7,185.34 and 3,231.92

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Solution

The fourth proportional to 4,792, 7,185.34 and 3,231.92 is: 4,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792 : 7,185.34 = 3,231.92 : x
  2. Step 2: Convert to fraction form
    4,792/7,185.34 = 3,231.92/x
  3. Step 3: Cross multiply
    4,792x = 7,185.34 × 3,231.92
  4. Step 4: Simplify right side
    4,792x = 23,222,444.05
  5. Step 5: Solve for x
    x = 23,222,444.05/4,792
  6. Step 6: Final answer
    x = 4,846.09

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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.