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Finding the Fourth Proportional to 5,546.99, 8,321.83 and 1,849.25

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Solution

The fourth proportional to 5,546.99, 8,321.83 and 1,849.25 is: 2,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.99 : 8,321.83 = 1,849.25 : x
  2. Step 2: Convert to fraction form
    5,546.99/8,321.83 = 1,849.25/x
  3. Step 3: Cross multiply
    5,546.99x = 8,321.83 × 1,849.25
  4. Step 4: Simplify right side
    5,546.99x = 15,389,160.31
  5. Step 5: Solve for x
    x = 15,389,160.31/5,546.99
  6. Step 6: Final answer
    x = 2,774.33

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1.5x scale

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.