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Finding the Fourth Proportional to 5,321.08, 7,978.78 and 2,033.49

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Solution

The fourth proportional to 5,321.08, 7,978.78 and 2,033.49 is: 3,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.08 : 7,978.78 = 2,033.49 : x
  2. Step 2: Convert to fraction form
    5,321.08/7,978.78 = 2,033.49/x
  3. Step 3: Cross multiply
    5,321.08x = 7,978.78 × 2,033.49
  4. Step 4: Simplify right side
    5,321.08x = 16,224,769.34
  5. Step 5: Solve for x
    x = 16,224,769.34/5,321.08
  6. Step 6: Final answer
    x = 3,049.15

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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.