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Finding the Fourth Proportional to 4,954.92, 6,837.12 and 2,965.02

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Solution

The fourth proportional to 4,954.92, 6,837.12 and 2,965.02 is: 4,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.92 : 6,837.12 = 2,965.02 : x
  2. Step 2: Convert to fraction form
    4,954.92/6,837.12 = 2,965.02/x
  3. Step 3: Cross multiply
    4,954.92x = 6,837.12 × 2,965.02
  4. Step 4: Simplify right side
    4,954.92x = 20,272,197.54
  5. Step 5: Solve for x
    x = 20,272,197.54/4,954.92
  6. Step 6: Final answer
    x = 4,091.33

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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.