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Finding the Fourth Proportional to 3,962.96, 5,944.40 and 1,189.92

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Solution

The fourth proportional to 3,962.96, 5,944.40 and 1,189.92 is: 1,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.96 : 5,944.40 = 1,189.92 : x
  2. Step 2: Convert to fraction form
    3,962.96/5,944.40 = 1,189.92/x
  3. Step 3: Cross multiply
    3,962.96x = 5,944.40 × 1,189.92
  4. Step 4: Simplify right side
    3,962.96x = 7,073,360.45
  5. Step 5: Solve for x
    x = 7,073,360.45/3,962.96
  6. Step 6: Final answer
    x = 1,784.87

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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.