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Finding the Fourth Proportional to 6,576.45, 9,077.38 and 4,186.49

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Solution

The fourth proportional to 6,576.45, 9,077.38 and 4,186.49 is: 5,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.45 : 9,077.38 = 4,186.49 : x
  2. Step 2: Convert to fraction form
    6,576.45/9,077.38 = 4,186.49/x
  3. Step 3: Cross multiply
    6,576.45x = 9,077.38 × 4,186.49
  4. Step 4: Simplify right side
    6,576.45x = 38,002,379.35
  5. Step 5: Solve for x
    x = 38,002,379.35/6,576.45
  6. Step 6: Final answer
    x = 5,778.56

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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.