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Finding the Fourth Proportional to 4,786.46, 6,608.54 and 4,280.75

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Solution

The fourth proportional to 4,786.46, 6,608.54 and 4,280.75 is: 5,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.46 : 6,608.54 = 4,280.75 : x
  2. Step 2: Convert to fraction form
    4,786.46/6,608.54 = 4,280.75/x
  3. Step 3: Cross multiply
    4,786.46x = 6,608.54 × 4,280.75
  4. Step 4: Simplify right side
    4,786.46x = 28,289,485.26
  5. Step 5: Solve for x
    x = 28,289,485.26/4,786.46
  6. Step 6: Final answer
    x = 5,910.31

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