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Finding the Fourth Proportional to 4,771.70, 6,584.88 and 2,782.34

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Solution

The fourth proportional to 4,771.70, 6,584.88 and 2,782.34 is: 3,839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.70 : 6,584.88 = 2,782.34 : x
  2. Step 2: Convert to fraction form
    4,771.70/6,584.88 = 2,782.34/x
  3. Step 3: Cross multiply
    4,771.70x = 6,584.88 × 2,782.34
  4. Step 4: Simplify right side
    4,771.70x = 18,321,375.02
  5. Step 5: Solve for x
    x = 18,321,375.02/4,771.70
  6. Step 6: Final answer
    x = 3,839.59

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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.