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Finding the Fourth Proportional to 4,628.64, 6,378.24 and 3,928.80

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Solution

The fourth proportional to 4,628.64, 6,378.24 and 3,928.80 is: 5,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.64 : 6,378.24 = 3,928.80 : x
  2. Step 2: Convert to fraction form
    4,628.64/6,378.24 = 3,928.80/x
  3. Step 3: Cross multiply
    4,628.64x = 6,378.24 × 3,928.80
  4. Step 4: Simplify right side
    4,628.64x = 25,058,829.31
  5. Step 5: Solve for x
    x = 25,058,829.31/4,628.64
  6. Step 6: Final answer
    x = 5,413.86

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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.