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Finding the Fourth Proportional to 6,579.73, 9,077.16 and 4,188.43

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Solution

The fourth proportional to 6,579.73, 9,077.16 and 4,188.43 is: 5,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.73 : 9,077.16 = 4,188.43 : x
  2. Step 2: Convert to fraction form
    6,579.73/9,077.16 = 4,188.43/x
  3. Step 3: Cross multiply
    6,579.73x = 9,077.16 × 4,188.43
  4. Step 4: Simplify right side
    6,579.73x = 38,019,049.26
  5. Step 5: Solve for x
    x = 38,019,049.26/6,579.73
  6. Step 6: Final answer
    x = 5,778.21

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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.