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Finding the Fourth Proportional to 4,676.44, 6,982.11 and 4,209.88

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Solution

The fourth proportional to 4,676.44, 6,982.11 and 4,209.88 is: 6,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.44 : 6,982.11 = 4,209.88 : x
  2. Step 2: Convert to fraction form
    4,676.44/6,982.11 = 4,209.88/x
  3. Step 3: Cross multiply
    4,676.44x = 6,982.11 × 4,209.88
  4. Step 4: Simplify right side
    4,676.44x = 29,393,845.25
  5. Step 5: Solve for x
    x = 29,393,845.25/4,676.44
  6. Step 6: Final answer
    x = 6,285.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.