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Finding the Fourth Proportional to 3,962.84, 5,945.66 and 1,771.40

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Solution

The fourth proportional to 3,962.84, 5,945.66 and 1,771.40 is: 2,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.84 : 5,945.66 = 1,771.40 : x
  2. Step 2: Convert to fraction form
    3,962.84/5,945.66 = 1,771.40/x
  3. Step 3: Cross multiply
    3,962.84x = 5,945.66 × 1,771.40
  4. Step 4: Simplify right side
    3,962.84x = 10,532,142.12
  5. Step 5: Solve for x
    x = 10,532,142.12/3,962.84
  6. Step 6: Final answer
    x = 2,657.73

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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.