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Finding the Fourth Proportional to 3,962.89, 5,945.13 and 1,771.61

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Solution

The fourth proportional to 3,962.89, 5,945.13 and 1,771.61 is: 2,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.89 : 5,945.13 = 1,771.61 : x
  2. Step 2: Convert to fraction form
    3,962.89/5,945.13 = 1,771.61/x
  3. Step 3: Cross multiply
    3,962.89x = 5,945.13 × 1,771.61
  4. Step 4: Simplify right side
    3,962.89x = 10,532,422.03
  5. Step 5: Solve for x
    x = 10,532,422.03/3,962.89
  6. Step 6: Final answer
    x = 2,657.76

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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.