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Finding the Fourth Proportional to 5,181.29, 7,771.97 and 1,893.03

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Solution

The fourth proportional to 5,181.29, 7,771.97 and 1,893.03 is: 2,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.29 : 7,771.97 = 1,893.03 : x
  2. Step 2: Convert to fraction form
    5,181.29/7,771.97 = 1,893.03/x
  3. Step 3: Cross multiply
    5,181.29x = 7,771.97 × 1,893.03
  4. Step 4: Simplify right side
    5,181.29x = 14,712,524.04
  5. Step 5: Solve for x
    x = 14,712,524.04/5,181.29
  6. Step 6: Final answer
    x = 2,839.55

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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.