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Finding the Fourth Proportional to 5,836.44, 8,757.72 and 2,549.80

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Solution

The fourth proportional to 5,836.44, 8,757.72 and 2,549.80 is: 3,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.44 : 8,757.72 = 2,549.80 : x
  2. Step 2: Convert to fraction form
    5,836.44/8,757.72 = 2,549.80/x
  3. Step 3: Cross multiply
    5,836.44x = 8,757.72 × 2,549.80
  4. Step 4: Simplify right side
    5,836.44x = 22,330,434.46
  5. Step 5: Solve for x
    x = 22,330,434.46/5,836.44
  6. Step 6: Final answer
    x = 3,826.04

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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.