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Finding the Fourth Proportional to 5,054.25, 6,974.91 and 2,958.42

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Solution

The fourth proportional to 5,054.25, 6,974.91 and 2,958.42 is: 4,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.25 : 6,974.91 = 2,958.42 : x
  2. Step 2: Convert to fraction form
    5,054.25/6,974.91 = 2,958.42/x
  3. Step 3: Cross multiply
    5,054.25x = 6,974.91 × 2,958.42
  4. Step 4: Simplify right side
    5,054.25x = 20,634,713.24
  5. Step 5: Solve for x
    x = 20,634,713.24/5,054.25
  6. Step 6: Final answer
    x = 4,082.65

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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.