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Finding the Fourth Proportional to 5,504.50, 8,257 and 1,609.24

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Solution

The fourth proportional to 5,504.50, 8,257 and 1,609.24 is: 2,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.50 : 8,257 = 1,609.24 : x
  2. Step 2: Convert to fraction form
    5,504.50/8,257 = 1,609.24/x
  3. Step 3: Cross multiply
    5,504.50x = 8,257 × 1,609.24
  4. Step 4: Simplify right side
    5,504.50x = 13,287,494.68
  5. Step 5: Solve for x
    x = 13,287,494.68/5,504.50
  6. Step 6: Final answer
    x = 2,413.93

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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.