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Finding the Fourth Proportional to 3,757.68, 5,183.52 and 2,185.60

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Solution

The fourth proportional to 3,757.68, 5,183.52 and 2,185.60 is: 3,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.68 : 5,183.52 = 2,185.60 : x
  2. Step 2: Convert to fraction form
    3,757.68/5,183.52 = 2,185.60/x
  3. Step 3: Cross multiply
    3,757.68x = 5,183.52 × 2,185.60
  4. Step 4: Simplify right side
    3,757.68x = 11,329,101.31
  5. Step 5: Solve for x
    x = 11,329,101.31/3,757.68
  6. Step 6: Final answer
    x = 3,014.92

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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.