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Finding the Fourth Proportional to 3,293.96, 4,942.38 and 1,213.47

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Solution

The fourth proportional to 3,293.96, 4,942.38 and 1,213.47 is: 1,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.96 : 4,942.38 = 1,213.47 : x
  2. Step 2: Convert to fraction form
    3,293.96/4,942.38 = 1,213.47/x
  3. Step 3: Cross multiply
    3,293.96x = 4,942.38 × 1,213.47
  4. Step 4: Simplify right side
    3,293.96x = 5,997,434.41
  5. Step 5: Solve for x
    x = 5,997,434.41/3,293.96
  6. Step 6: Final answer
    x = 1,820.74

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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.