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Finding the Fourth Proportional to 3,893.31, 5,843.61 and 1,814.74

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Solution

The fourth proportional to 3,893.31, 5,843.61 and 1,814.74 is: 2,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.31 : 5,843.61 = 1,814.74 : x
  2. Step 2: Convert to fraction form
    3,893.31/5,843.61 = 1,814.74/x
  3. Step 3: Cross multiply
    3,893.31x = 5,843.61 × 1,814.74
  4. Step 4: Simplify right side
    3,893.31x = 10,604,632.81
  5. Step 5: Solve for x
    x = 10,604,632.81/3,893.31
  6. Step 6: Final answer
    x = 2,723.81

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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.