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Finding the Fourth Proportional to 4,861.82, 7,293.54 and 1,942.22

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Solution

The fourth proportional to 4,861.82, 7,293.54 and 1,942.22 is: 2,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.82 : 7,293.54 = 1,942.22 : x
  2. Step 2: Convert to fraction form
    4,861.82/7,293.54 = 1,942.22/x
  3. Step 3: Cross multiply
    4,861.82x = 7,293.54 × 1,942.22
  4. Step 4: Simplify right side
    4,861.82x = 14,165,659.26
  5. Step 5: Solve for x
    x = 14,165,659.26/4,861.82
  6. Step 6: Final answer
    x = 2,913.65

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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.