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Finding the Fourth Proportional to 5,943.10, 8,194.03 and 3,814.88

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Solution

The fourth proportional to 5,943.10, 8,194.03 and 3,814.88 is: 5,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.10 : 8,194.03 = 3,814.88 : x
  2. Step 2: Convert to fraction form
    5,943.10/8,194.03 = 3,814.88/x
  3. Step 3: Cross multiply
    5,943.10x = 8,194.03 × 3,814.88
  4. Step 4: Simplify right side
    5,943.10x = 31,259,181.12
  5. Step 5: Solve for x
    x = 31,259,181.12/5,943.10
  6. Step 6: Final answer
    x = 5,259.74

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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.