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Finding the Fourth Proportional to 5,794.86, 8,692.34 and 3,833.07

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Solution

The fourth proportional to 5,794.86, 8,692.34 and 3,833.07 is: 5,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.86 : 8,692.34 = 3,833.07 : x
  2. Step 2: Convert to fraction form
    5,794.86/8,692.34 = 3,833.07/x
  3. Step 3: Cross multiply
    5,794.86x = 8,692.34 × 3,833.07
  4. Step 4: Simplify right side
    5,794.86x = 33,318,328.52
  5. Step 5: Solve for x
    x = 33,318,328.52/5,794.86
  6. Step 6: Final answer
    x = 5,749.63

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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.