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Finding the Fourth Proportional to 5,194.81, 7,168.89 and 2,836.99

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Solution

The fourth proportional to 5,194.81, 7,168.89 and 2,836.99 is: 3,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.81 : 7,168.89 = 2,836.99 : x
  2. Step 2: Convert to fraction form
    5,194.81/7,168.89 = 2,836.99/x
  3. Step 3: Cross multiply
    5,194.81x = 7,168.89 × 2,836.99
  4. Step 4: Simplify right side
    5,194.81x = 20,338,069.24
  5. Step 5: Solve for x
    x = 20,338,069.24/5,194.81
  6. Step 6: Final answer
    x = 3,915.07

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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.