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Finding the Fourth Proportional to 3,962.31, 5,943.12 and 1,189.61

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Solution

The fourth proportional to 3,962.31, 5,943.12 and 1,189.61 is: 1,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.31 : 5,943.12 = 1,189.61 : x
  2. Step 2: Convert to fraction form
    3,962.31/5,943.12 = 1,189.61/x
  3. Step 3: Cross multiply
    3,962.31x = 5,943.12 × 1,189.61
  4. Step 4: Simplify right side
    3,962.31x = 7,069,965.27
  5. Step 5: Solve for x
    x = 7,069,965.27/3,962.31
  6. Step 6: Final answer
    x = 1,784.30

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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.