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Finding the Fourth Proportional to 3,821.67, 5,732.17 and 1,189.06

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Solution

The fourth proportional to 3,821.67, 5,732.17 and 1,189.06 is: 1,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.67 : 5,732.17 = 1,189.06 : x
  2. Step 2: Convert to fraction form
    3,821.67/5,732.17 = 1,189.06/x
  3. Step 3: Cross multiply
    3,821.67x = 5,732.17 × 1,189.06
  4. Step 4: Simplify right side
    3,821.67x = 6,815,876.76
  5. Step 5: Solve for x
    x = 6,815,876.76/3,821.67
  6. Step 6: Final answer
    x = 1,783.48

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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.