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Finding the Fourth Proportional to 3,821.73, 5,274.82 and 2,329.34

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Solution

The fourth proportional to 3,821.73, 5,274.82 and 2,329.34 is: 3,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.73 : 5,274.82 = 2,329.34 : x
  2. Step 2: Convert to fraction form
    3,821.73/5,274.82 = 2,329.34/x
  3. Step 3: Cross multiply
    3,821.73x = 5,274.82 × 2,329.34
  4. Step 4: Simplify right side
    3,821.73x = 12,286,825.76
  5. Step 5: Solve for x
    x = 12,286,825.76/3,821.73
  6. Step 6: Final answer
    x = 3,214.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.