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Finding the Fourth Proportional to 3,348.14, 5,021.83 and 883.16

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Solution

The fourth proportional to 3,348.14, 5,021.83 and 883.16 is: 1,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.14 : 5,021.83 = 883.16 : x
  2. Step 2: Convert to fraction form
    3,348.14/5,021.83 = 883.16/x
  3. Step 3: Cross multiply
    3,348.14x = 5,021.83 × 883.16
  4. Step 4: Simplify right side
    3,348.14x = 4,435,049.86
  5. Step 5: Solve for x
    x = 4,435,049.86/3,348.14
  6. Step 6: Final answer
    x = 1,324.63

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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.