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Finding the Fourth Proportional to 4,761.22, 7,143 and 3,845.08

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Solution

The fourth proportional to 4,761.22, 7,143 and 3,845.08 is: 5,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.22 : 7,143 = 3,845.08 : x
  2. Step 2: Convert to fraction form
    4,761.22/7,143 = 3,845.08/x
  3. Step 3: Cross multiply
    4,761.22x = 7,143 × 3,845.08
  4. Step 4: Simplify right side
    4,761.22x = 27,465,406.44
  5. Step 5: Solve for x
    x = 27,465,406.44/4,761.22
  6. Step 6: Final answer
    x = 5,768.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.