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Finding the Fourth Proportional to 5,255.07, 7,883.54 and 1,745.29

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Solution

The fourth proportional to 5,255.07, 7,883.54 and 1,745.29 is: 2,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.07 : 7,883.54 = 1,745.29 : x
  2. Step 2: Convert to fraction form
    5,255.07/7,883.54 = 1,745.29/x
  3. Step 3: Cross multiply
    5,255.07x = 7,883.54 × 1,745.29
  4. Step 4: Simplify right side
    5,255.07x = 13,759,063.53
  5. Step 5: Solve for x
    x = 13,759,063.53/5,255.07
  6. Step 6: Final answer
    x = 2,618.25

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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.