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Finding the Fourth Proportional to 3,884.67, 5,821.34 and 1,934.19

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Solution

The fourth proportional to 3,884.67, 5,821.34 and 1,934.19 is: 2,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.67 : 5,821.34 = 1,934.19 : x
  2. Step 2: Convert to fraction form
    3,884.67/5,821.34 = 1,934.19/x
  3. Step 3: Cross multiply
    3,884.67x = 5,821.34 × 1,934.19
  4. Step 4: Simplify right side
    3,884.67x = 11,259,567.94
  5. Step 5: Solve for x
    x = 11,259,567.94/3,884.67
  6. Step 6: Final answer
    x = 2,898.46

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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.