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Finding the Fourth Proportional to 6,138.14, 8,471.73 and 3,620.10

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Solution

The fourth proportional to 6,138.14, 8,471.73 and 3,620.10 is: 4,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.14 : 8,471.73 = 3,620.10 : x
  2. Step 2: Convert to fraction form
    6,138.14/8,471.73 = 3,620.10/x
  3. Step 3: Cross multiply
    6,138.14x = 8,471.73 × 3,620.10
  4. Step 4: Simplify right side
    6,138.14x = 30,668,509.77
  5. Step 5: Solve for x
    x = 30,668,509.77/6,138.14
  6. Step 6: Final answer
    x = 4,996.38

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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.