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Finding the Fourth Proportional to 4,766.80, 6,589.20 and 3,976.24

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Solution

The fourth proportional to 4,766.80, 6,589.20 and 3,976.24 is: 5,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.80 : 6,589.20 = 3,976.24 : x
  2. Step 2: Convert to fraction form
    4,766.80/6,589.20 = 3,976.24/x
  3. Step 3: Cross multiply
    4,766.80x = 6,589.20 × 3,976.24
  4. Step 4: Simplify right side
    4,766.80x = 26,200,240.61
  5. Step 5: Solve for x
    x = 26,200,240.61/4,766.80
  6. Step 6: Final answer
    x = 5,496.40

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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.