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Finding the Fourth Proportional to 4,237.68, 5,843.52 and 2,745.60

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Solution

The fourth proportional to 4,237.68, 5,843.52 and 2,745.60 is: 3,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.68 : 5,843.52 = 2,745.60 : x
  2. Step 2: Convert to fraction form
    4,237.68/5,843.52 = 2,745.60/x
  3. Step 3: Cross multiply
    4,237.68x = 5,843.52 × 2,745.60
  4. Step 4: Simplify right side
    4,237.68x = 16,043,968.51
  5. Step 5: Solve for x
    x = 16,043,968.51/4,237.68
  6. Step 6: Final answer
    x = 3,786.03

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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.