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Finding the Fourth Proportional to 3,830.78, 5,284.74 and 2,413.48

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Solution

The fourth proportional to 3,830.78, 5,284.74 and 2,413.48 is: 3,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.78 : 5,284.74 = 2,413.48 : x
  2. Step 2: Convert to fraction form
    3,830.78/5,284.74 = 2,413.48/x
  3. Step 3: Cross multiply
    3,830.78x = 5,284.74 × 2,413.48
  4. Step 4: Simplify right side
    3,830.78x = 12,754,601.08
  5. Step 5: Solve for x
    x = 12,754,601.08/3,830.78
  6. Step 6: Final answer
    x = 3,329.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.