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Finding the Fourth Proportional to 3,346.72, 4,618.64 and 2,020.41

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Solution

The fourth proportional to 3,346.72, 4,618.64 and 2,020.41 is: 2,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.72 : 4,618.64 = 2,020.41 : x
  2. Step 2: Convert to fraction form
    3,346.72/4,618.64 = 2,020.41/x
  3. Step 3: Cross multiply
    3,346.72x = 4,618.64 × 2,020.41
  4. Step 4: Simplify right side
    3,346.72x = 9,331,546.44
  5. Step 5: Solve for x
    x = 9,331,546.44/3,346.72
  6. Step 6: Final answer
    x = 2,788.27

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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.