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Finding the Fourth Proportional to 4,942.96, 7,416.52 and 2,168.20

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Solution

The fourth proportional to 4,942.96, 7,416.52 and 2,168.20 is: 3,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.96 : 7,416.52 = 2,168.20 : x
  2. Step 2: Convert to fraction form
    4,942.96/7,416.52 = 2,168.20/x
  3. Step 3: Cross multiply
    4,942.96x = 7,416.52 × 2,168.20
  4. Step 4: Simplify right side
    4,942.96x = 16,080,498.66
  5. Step 5: Solve for x
    x = 16,080,498.66/4,942.96
  6. Step 6: Final answer
    x = 3,253.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.