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Finding the Fourth Proportional to 5,290.27, 7,936.13 and 1,827.79

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Solution

The fourth proportional to 5,290.27, 7,936.13 and 1,827.79 is: 2,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.27 : 7,936.13 = 1,827.79 : x
  2. Step 2: Convert to fraction form
    5,290.27/7,936.13 = 1,827.79/x
  3. Step 3: Cross multiply
    5,290.27x = 7,936.13 × 1,827.79
  4. Step 4: Simplify right side
    5,290.27x = 14,505,579.05
  5. Step 5: Solve for x
    x = 14,505,579.05/5,290.27
  6. Step 6: Final answer
    x = 2,741.94

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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.