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Finding the Fourth Proportional to 3,608.59, 5,413.62 and 1,528.59

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Solution

The fourth proportional to 3,608.59, 5,413.62 and 1,528.59 is: 2,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.59 : 5,413.62 = 1,528.59 : x
  2. Step 2: Convert to fraction form
    3,608.59/5,413.62 = 1,528.59/x
  3. Step 3: Cross multiply
    3,608.59x = 5,413.62 × 1,528.59
  4. Step 4: Simplify right side
    3,608.59x = 8,275,205.40
  5. Step 5: Solve for x
    x = 8,275,205.40/3,608.59
  6. Step 6: Final answer
    x = 2,293.20

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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.