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Finding the Fourth Proportional to 6,269.38, 8,651.85 and 3,436.56

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Solution

The fourth proportional to 6,269.38, 8,651.85 and 3,436.56 is: 4,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.38 : 8,651.85 = 3,436.56 : x
  2. Step 2: Convert to fraction form
    6,269.38/8,651.85 = 3,436.56/x
  3. Step 3: Cross multiply
    6,269.38x = 8,651.85 × 3,436.56
  4. Step 4: Simplify right side
    6,269.38x = 29,732,601.64
  5. Step 5: Solve for x
    x = 29,732,601.64/6,269.38
  6. Step 6: Final answer
    x = 4,742.51

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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.