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Finding the Fourth Proportional to 5,794.69, 8,676.24 and 4,035.37

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Solution

The fourth proportional to 5,794.69, 8,676.24 and 4,035.37 is: 6,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.69 : 8,676.24 = 4,035.37 : x
  2. Step 2: Convert to fraction form
    5,794.69/8,676.24 = 4,035.37/x
  3. Step 3: Cross multiply
    5,794.69x = 8,676.24 × 4,035.37
  4. Step 4: Simplify right side
    5,794.69x = 35,011,838.61
  5. Step 5: Solve for x
    x = 35,011,838.61/5,794.69
  6. Step 6: Final answer
    x = 6,042.06

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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.