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Finding the Fourth Proportional to 5,832.68, 8,745.80 and 3,985.88

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Solution

The fourth proportional to 5,832.68, 8,745.80 and 3,985.88 is: 5,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.68 : 8,745.80 = 3,985.88 : x
  2. Step 2: Convert to fraction form
    5,832.68/8,745.80 = 3,985.88/x
  3. Step 3: Cross multiply
    5,832.68x = 8,745.80 × 3,985.88
  4. Step 4: Simplify right side
    5,832.68x = 34,859,645.65
  5. Step 5: Solve for x
    x = 34,859,645.65/5,832.68
  6. Step 6: Final answer
    x = 5,976.61

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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.