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Finding the Fourth Proportional to 4,013.42, 5,540.74 and 2,755.22

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Solution

The fourth proportional to 4,013.42, 5,540.74 and 2,755.22 is: 3,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.42 : 5,540.74 = 2,755.22 : x
  2. Step 2: Convert to fraction form
    4,013.42/5,540.74 = 2,755.22/x
  3. Step 3: Cross multiply
    4,013.42x = 5,540.74 × 2,755.22
  4. Step 4: Simplify right side
    4,013.42x = 15,265,923.07
  5. Step 5: Solve for x
    x = 15,265,923.07/4,013.42
  6. Step 6: Final answer
    x = 3,803.72

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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.