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Finding the Fourth Proportional to 3,745.90, 5,171.28 and 2,736.47

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Solution

The fourth proportional to 3,745.90, 5,171.28 and 2,736.47 is: 3,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.90 : 5,171.28 = 2,736.47 : x
  2. Step 2: Convert to fraction form
    3,745.90/5,171.28 = 2,736.47/x
  3. Step 3: Cross multiply
    3,745.90x = 5,171.28 × 2,736.47
  4. Step 4: Simplify right side
    3,745.90x = 14,151,040.23
  5. Step 5: Solve for x
    x = 14,151,040.23/3,745.90
  6. Step 6: Final answer
    x = 3,777.75

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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.