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Finding the Fourth Proportional to 5,608.94, 8,413.70 and 2,098.08

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Solution

The fourth proportional to 5,608.94, 8,413.70 and 2,098.08 is: 3,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.94 : 8,413.70 = 2,098.08 : x
  2. Step 2: Convert to fraction form
    5,608.94/8,413.70 = 2,098.08/x
  3. Step 3: Cross multiply
    5,608.94x = 8,413.70 × 2,098.08
  4. Step 4: Simplify right side
    5,608.94x = 17,652,605.21
  5. Step 5: Solve for x
    x = 17,652,605.21/5,608.94
  6. Step 6: Final answer
    x = 3,147.23

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1.5x scale

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.