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Finding the Fourth Proportional to 5,194.21, 7,168.06 and 2,836.20

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Solution

The fourth proportional to 5,194.21, 7,168.06 and 2,836.20 is: 3,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.21 : 7,168.06 = 2,836.20 : x
  2. Step 2: Convert to fraction form
    5,194.21/7,168.06 = 2,836.20/x
  3. Step 3: Cross multiply
    5,194.21x = 7,168.06 × 2,836.20
  4. Step 4: Simplify right side
    5,194.21x = 20,330,051.77
  5. Step 5: Solve for x
    x = 20,330,051.77/5,194.21
  6. Step 6: Final answer
    x = 3,913.98

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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.