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Finding the Fourth Proportional to 5,733.88, 7,911.56 and 3,747.36

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Solution

The fourth proportional to 5,733.88, 7,911.56 and 3,747.36 is: 5,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.88 : 7,911.56 = 3,747.36 : x
  2. Step 2: Convert to fraction form
    5,733.88/7,911.56 = 3,747.36/x
  3. Step 3: Cross multiply
    5,733.88x = 7,911.56 × 3,747.36
  4. Step 4: Simplify right side
    5,733.88x = 29,647,424.97
  5. Step 5: Solve for x
    x = 29,647,424.97/5,733.88
  6. Step 6: Final answer
    x = 5,170.57

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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.