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Finding the Fourth Proportional to 4,257.54, 6,372.69 and 2,280.42

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Solution

The fourth proportional to 4,257.54, 6,372.69 and 2,280.42 is: 3,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.54 : 6,372.69 = 2,280.42 : x
  2. Step 2: Convert to fraction form
    4,257.54/6,372.69 = 2,280.42/x
  3. Step 3: Cross multiply
    4,257.54x = 6,372.69 × 2,280.42
  4. Step 4: Simplify right side
    4,257.54x = 14,532,409.73
  5. Step 5: Solve for x
    x = 14,532,409.73/4,257.54
  6. Step 6: Final answer
    x = 3,413.33

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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.