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Finding the Fourth Proportional to 3,845.28, 5,271.90 and 3,775.23

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Solution

The fourth proportional to 3,845.28, 5,271.90 and 3,775.23 is: 5,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.28 : 5,271.90 = 3,775.23 : x
  2. Step 2: Convert to fraction form
    3,845.28/5,271.90 = 3,775.23/x
  3. Step 3: Cross multiply
    3,845.28x = 5,271.90 × 3,775.23
  4. Step 4: Simplify right side
    3,845.28x = 19,902,635.04
  5. Step 5: Solve for x
    x = 19,902,635.04/3,845.28
  6. Step 6: Final answer
    x = 5,175.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.