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Finding the Fourth Proportional to 5,255.24, 7,882.84 and 1,745.51

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Solution

The fourth proportional to 5,255.24, 7,882.84 and 1,745.51 is: 2,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.24 : 7,882.84 = 1,745.51 : x
  2. Step 2: Convert to fraction form
    5,255.24/7,882.84 = 1,745.51/x
  3. Step 3: Cross multiply
    5,255.24x = 7,882.84 × 1,745.51
  4. Step 4: Simplify right side
    5,255.24x = 13,759,591.39
  5. Step 5: Solve for x
    x = 13,759,591.39/5,255.24
  6. Step 6: Final answer
    x = 2,618.26

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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.