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Finding the Fourth Proportional to 4,964.35, 6,850.29 and 2,974.86

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Solution

The fourth proportional to 4,964.35, 6,850.29 and 2,974.86 is: 4,104.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.35 : 6,850.29 = 2,974.86 : x
  2. Step 2: Convert to fraction form
    4,964.35/6,850.29 = 2,974.86/x
  3. Step 3: Cross multiply
    4,964.35x = 6,850.29 × 2,974.86
  4. Step 4: Simplify right side
    4,964.35x = 20,378,619.46
  5. Step 5: Solve for x
    x = 20,378,619.46/4,964.35
  6. Step 6: Final answer
    x = 4,104.99

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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.