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Finding the Fourth Proportional to 4,793.36, 7,190.74 and 2,452.10

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Solution

The fourth proportional to 4,793.36, 7,190.74 and 2,452.10 is: 3,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.36 : 7,190.74 = 2,452.10 : x
  2. Step 2: Convert to fraction form
    4,793.36/7,190.74 = 2,452.10/x
  3. Step 3: Cross multiply
    4,793.36x = 7,190.74 × 2,452.10
  4. Step 4: Simplify right side
    4,793.36x = 17,632,413.55
  5. Step 5: Solve for x
    x = 17,632,413.55/4,793.36
  6. Step 6: Final answer
    x = 3,678.51

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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.