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Finding the Fourth Proportional to 4,914.57, 6,782 and 2,676.47

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Solution

The fourth proportional to 4,914.57, 6,782 and 2,676.47 is: 3,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.57 : 6,782 = 2,676.47 : x
  2. Step 2: Convert to fraction form
    4,914.57/6,782 = 2,676.47/x
  3. Step 3: Cross multiply
    4,914.57x = 6,782 × 2,676.47
  4. Step 4: Simplify right side
    4,914.57x = 18,151,819.54
  5. Step 5: Solve for x
    x = 18,151,819.54/4,914.57
  6. Step 6: Final answer
    x = 3,693.47

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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.