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Finding the Fourth Proportional to 6,105, 8,426.16 and 3,452.52

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Solution

The fourth proportional to 6,105, 8,426.16 and 3,452.52 is: 4,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105 : 8,426.16 = 3,452.52 : x
  2. Step 2: Convert to fraction form
    6,105/8,426.16 = 3,452.52/x
  3. Step 3: Cross multiply
    6,105x = 8,426.16 × 3,452.52
  4. Step 4: Simplify right side
    6,105x = 29,091,485.92
  5. Step 5: Solve for x
    x = 29,091,485.92/6,105
  6. Step 6: Final answer
    x = 4,765.19

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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.