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Finding the Fourth Proportional to 4,971.38, 7,454.19 and 3,413.15

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Solution

The fourth proportional to 4,971.38, 7,454.19 and 3,413.15 is: 5,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.38 : 7,454.19 = 3,413.15 : x
  2. Step 2: Convert to fraction form
    4,971.38/7,454.19 = 3,413.15/x
  3. Step 3: Cross multiply
    4,971.38x = 7,454.19 × 3,413.15
  4. Step 4: Simplify right side
    4,971.38x = 25,442,231.33
  5. Step 5: Solve for x
    x = 25,442,231.33/4,971.38
  6. Step 6: Final answer
    x = 5,117.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.