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Finding the Fourth Proportional to 4,181.78, 5,771.02 and 2,413.38

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Solution

The fourth proportional to 4,181.78, 5,771.02 and 2,413.38 is: 3,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.78 : 5,771.02 = 2,413.38 : x
  2. Step 2: Convert to fraction form
    4,181.78/5,771.02 = 2,413.38/x
  3. Step 3: Cross multiply
    4,181.78x = 5,771.02 × 2,413.38
  4. Step 4: Simplify right side
    4,181.78x = 13,927,664.25
  5. Step 5: Solve for x
    x = 13,927,664.25/4,181.78
  6. Step 6: Final answer
    x = 3,330.56

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Why These Related Problems?

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