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Finding the Fourth Proportional to 3,446.49, 5,161.53 and 1,884.15

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Solution

The fourth proportional to 3,446.49, 5,161.53 and 1,884.15 is: 2,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.49 : 5,161.53 = 1,884.15 : x
  2. Step 2: Convert to fraction form
    3,446.49/5,161.53 = 1,884.15/x
  3. Step 3: Cross multiply
    3,446.49x = 5,161.53 × 1,884.15
  4. Step 4: Simplify right side
    3,446.49x = 9,725,096.75
  5. Step 5: Solve for x
    x = 9,725,096.75/3,446.49
  6. Step 6: Final answer
    x = 2,821.74

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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.