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Finding the Fourth Proportional to 4,940.28, 7,413.60 and 1,862.28

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Solution

The fourth proportional to 4,940.28, 7,413.60 and 1,862.28 is: 2,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.28 : 7,413.60 = 1,862.28 : x
  2. Step 2: Convert to fraction form
    4,940.28/7,413.60 = 1,862.28/x
  3. Step 3: Cross multiply
    4,940.28x = 7,413.60 × 1,862.28
  4. Step 4: Simplify right side
    4,940.28x = 13,806,199.01
  5. Step 5: Solve for x
    x = 13,806,199.01/4,940.28
  6. Step 6: Final answer
    x = 2,794.62

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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.