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Finding the Fourth Proportional to 3,962.97, 5,944.49 and 1,189.67

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Solution

The fourth proportional to 3,962.97, 5,944.49 and 1,189.67 is: 1,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.97 : 5,944.49 = 1,189.67 : x
  2. Step 2: Convert to fraction form
    3,962.97/5,944.49 = 1,189.67/x
  3. Step 3: Cross multiply
    3,962.97x = 5,944.49 × 1,189.67
  4. Step 4: Simplify right side
    3,962.97x = 7,071,945.75
  5. Step 5: Solve for x
    x = 7,071,945.75/3,962.97
  6. Step 6: Final answer
    x = 1,784.51

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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.