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Finding the Fourth Proportional to 5,876.44, 8,814.02 and 2,413.70

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Solution

The fourth proportional to 5,876.44, 8,814.02 and 2,413.70 is: 3,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.44 : 8,814.02 = 2,413.70 : x
  2. Step 2: Convert to fraction form
    5,876.44/8,814.02 = 2,413.70/x
  3. Step 3: Cross multiply
    5,876.44x = 8,814.02 × 2,413.70
  4. Step 4: Simplify right side
    5,876.44x = 21,274,400.07
  5. Step 5: Solve for x
    x = 21,274,400.07/5,876.44
  6. Step 6: Final answer
    x = 3,620.29

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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.