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Finding the Fourth Proportional to 5,233.65, 7,861.41 and 4,413.54

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Solution

The fourth proportional to 5,233.65, 7,861.41 and 4,413.54 is: 6,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.65 : 7,861.41 = 4,413.54 : x
  2. Step 2: Convert to fraction form
    5,233.65/7,861.41 = 4,413.54/x
  3. Step 3: Cross multiply
    5,233.65x = 7,861.41 × 4,413.54
  4. Step 4: Simplify right side
    5,233.65x = 34,696,647.49
  5. Step 5: Solve for x
    x = 34,696,647.49/5,233.65
  6. Step 6: Final answer
    x = 6,629.53

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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.