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Finding the Fourth Proportional to 5,352.75, 8,032.37 and 2,274.75

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Solution

The fourth proportional to 5,352.75, 8,032.37 and 2,274.75 is: 3,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.75 : 8,032.37 = 2,274.75 : x
  2. Step 2: Convert to fraction form
    5,352.75/8,032.37 = 2,274.75/x
  3. Step 3: Cross multiply
    5,352.75x = 8,032.37 × 2,274.75
  4. Step 4: Simplify right side
    5,352.75x = 18,271,622.28
  5. Step 5: Solve for x
    x = 18,271,622.28/5,352.75
  6. Step 6: Final answer
    x = 3,413.50

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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.