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Finding the Fourth Proportional to 5,733.22, 7,913.54 and 3,744.09

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Solution

The fourth proportional to 5,733.22, 7,913.54 and 3,744.09 is: 5,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.22 : 7,913.54 = 3,744.09 : x
  2. Step 2: Convert to fraction form
    5,733.22/7,913.54 = 3,744.09/x
  3. Step 3: Cross multiply
    5,733.22x = 7,913.54 × 3,744.09
  4. Step 4: Simplify right side
    5,733.22x = 29,629,005.98
  5. Step 5: Solve for x
    x = 29,629,005.98/5,733.22
  6. Step 6: Final answer
    x = 5,167.95

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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.