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Finding the Fourth Proportional to 6,192.23, 8,543.34 and 3,799.69

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Solution

The fourth proportional to 6,192.23, 8,543.34 and 3,799.69 is: 5,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.23 : 8,543.34 = 3,799.69 : x
  2. Step 2: Convert to fraction form
    6,192.23/8,543.34 = 3,799.69/x
  3. Step 3: Cross multiply
    6,192.23x = 8,543.34 × 3,799.69
  4. Step 4: Simplify right side
    6,192.23x = 32,462,022.21
  5. Step 5: Solve for x
    x = 32,462,022.21/6,192.23
  6. Step 6: Final answer
    x = 5,242.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.