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Finding the Fourth Proportional to 5,498.01, 8,245.31 and 1,799.42

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Solution

The fourth proportional to 5,498.01, 8,245.31 and 1,799.42 is: 2,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.01 : 8,245.31 = 1,799.42 : x
  2. Step 2: Convert to fraction form
    5,498.01/8,245.31 = 1,799.42/x
  3. Step 3: Cross multiply
    5,498.01x = 8,245.31 × 1,799.42
  4. Step 4: Simplify right side
    5,498.01x = 14,836,725.50
  5. Step 5: Solve for x
    x = 14,836,725.50/5,498.01
  6. Step 6: Final answer
    x = 2,698.56

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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.