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Finding the Fourth Proportional to 3,794.13, 5,236.74 and 2,116.13

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Solution

The fourth proportional to 3,794.13, 5,236.74 and 2,116.13 is: 2,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.13 : 5,236.74 = 2,116.13 : x
  2. Step 2: Convert to fraction form
    3,794.13/5,236.74 = 2,116.13/x
  3. Step 3: Cross multiply
    3,794.13x = 5,236.74 × 2,116.13
  4. Step 4: Simplify right side
    3,794.13x = 11,081,596.43
  5. Step 5: Solve for x
    x = 11,081,596.43/3,794.13
  6. Step 6: Final answer
    x = 2,920.72

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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.