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Finding the Fourth Proportional to 3,757.42, 5,185.44 and 2,265.55

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Solution

The fourth proportional to 3,757.42, 5,185.44 and 2,265.55 is: 3,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.42 : 5,185.44 = 2,265.55 : x
  2. Step 2: Convert to fraction form
    3,757.42/5,185.44 = 2,265.55/x
  3. Step 3: Cross multiply
    3,757.42x = 5,185.44 × 2,265.55
  4. Step 4: Simplify right side
    3,757.42x = 11,747,873.59
  5. Step 5: Solve for x
    x = 11,747,873.59/3,757.42
  6. Step 6: Final answer
    x = 3,126.58

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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.