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Finding the Fourth Proportional to 4,859.50, 7,288.46 and 1,738.97

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Solution

The fourth proportional to 4,859.50, 7,288.46 and 1,738.97 is: 2,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.50 : 7,288.46 = 1,738.97 : x
  2. Step 2: Convert to fraction form
    4,859.50/7,288.46 = 1,738.97/x
  3. Step 3: Cross multiply
    4,859.50x = 7,288.46 × 1,738.97
  4. Step 4: Simplify right side
    4,859.50x = 12,674,413.29
  5. Step 5: Solve for x
    x = 12,674,413.29/4,859.50
  6. Step 6: Final answer
    x = 2,608.17

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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.