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Finding the Fourth Proportional to 4,517.76, 6,771.84 and 2,176.31

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Solution

The fourth proportional to 4,517.76, 6,771.84 and 2,176.31 is: 3,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.76 : 6,771.84 = 2,176.31 : x
  2. Step 2: Convert to fraction form
    4,517.76/6,771.84 = 2,176.31/x
  3. Step 3: Cross multiply
    4,517.76x = 6,771.84 × 2,176.31
  4. Step 4: Simplify right side
    4,517.76x = 14,737,589.25
  5. Step 5: Solve for x
    x = 14,737,589.25/4,517.76
  6. Step 6: Final answer
    x = 3,262.15

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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.