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Finding the Fourth Proportional to 5,324.54, 7,983.02 and 2,034.86

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Solution

The fourth proportional to 5,324.54, 7,983.02 and 2,034.86 is: 3,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.54 : 7,983.02 = 2,034.86 : x
  2. Step 2: Convert to fraction form
    5,324.54/7,983.02 = 2,034.86/x
  3. Step 3: Cross multiply
    5,324.54x = 7,983.02 × 2,034.86
  4. Step 4: Simplify right side
    5,324.54x = 16,244,293.25
  5. Step 5: Solve for x
    x = 16,244,293.25/5,324.54
  6. Step 6: Final answer
    x = 3,050.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.