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Finding the Fourth Proportional to 4,761.75, 7,144.20 and 1,840.08

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Solution

The fourth proportional to 4,761.75, 7,144.20 and 1,840.08 is: 2,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.75 : 7,144.20 = 1,840.08 : x
  2. Step 2: Convert to fraction form
    4,761.75/7,144.20 = 1,840.08/x
  3. Step 3: Cross multiply
    4,761.75x = 7,144.20 × 1,840.08
  4. Step 4: Simplify right side
    4,761.75x = 13,145,899.54
  5. Step 5: Solve for x
    x = 13,145,899.54/4,761.75
  6. Step 6: Final answer
    x = 2,760.73

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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.