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Finding the Fourth Proportional to 5,208.97, 7,814.26 and 1,745.41

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Solution

The fourth proportional to 5,208.97, 7,814.26 and 1,745.41 is: 2,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.97 : 7,814.26 = 1,745.41 : x
  2. Step 2: Convert to fraction form
    5,208.97/7,814.26 = 1,745.41/x
  3. Step 3: Cross multiply
    5,208.97x = 7,814.26 × 1,745.41
  4. Step 4: Simplify right side
    5,208.97x = 13,639,087.55
  5. Step 5: Solve for x
    x = 13,639,087.55/5,208.97
  6. Step 6: Final answer
    x = 2,618.38

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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.