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Finding the Fourth Proportional to 6,034.64, 8,320.01 and 3,906.38

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Solution

The fourth proportional to 6,034.64, 8,320.01 and 3,906.38 is: 5,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.64 : 8,320.01 = 3,906.38 : x
  2. Step 2: Convert to fraction form
    6,034.64/8,320.01 = 3,906.38/x
  3. Step 3: Cross multiply
    6,034.64x = 8,320.01 × 3,906.38
  4. Step 4: Simplify right side
    6,034.64x = 32,501,121.93
  5. Step 5: Solve for x
    x = 32,501,121.93/6,034.64
  6. Step 6: Final answer
    x = 5,385.76

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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.