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Finding the Fourth Proportional to 5,358.44, 8,034 and 1,659.44

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Solution

The fourth proportional to 5,358.44, 8,034 and 1,659.44 is: 2,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.44 : 8,034 = 1,659.44 : x
  2. Step 2: Convert to fraction form
    5,358.44/8,034 = 1,659.44/x
  3. Step 3: Cross multiply
    5,358.44x = 8,034 × 1,659.44
  4. Step 4: Simplify right side
    5,358.44x = 13,331,940.96
  5. Step 5: Solve for x
    x = 13,331,940.96/5,358.44
  6. Step 6: Final answer
    x = 2,488.03

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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.