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Finding the Fourth Proportional to 5,194.49, 7,168.52 and 2,836.65

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Solution

The fourth proportional to 5,194.49, 7,168.52 and 2,836.65 is: 3,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.49 : 7,168.52 = 2,836.65 : x
  2. Step 2: Convert to fraction form
    5,194.49/7,168.52 = 2,836.65/x
  3. Step 3: Cross multiply
    5,194.49x = 7,168.52 × 2,836.65
  4. Step 4: Simplify right side
    5,194.49x = 20,334,582.26
  5. Step 5: Solve for x
    x = 20,334,582.26/5,194.49
  6. Step 6: Final answer
    x = 3,914.64

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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.