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Finding the Fourth Proportional to 6,429.72, 8,872.38 and 3,633.24

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Solution

The fourth proportional to 6,429.72, 8,872.38 and 3,633.24 is: 5,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.72 : 8,872.38 = 3,633.24 : x
  2. Step 2: Convert to fraction form
    6,429.72/8,872.38 = 3,633.24/x
  3. Step 3: Cross multiply
    6,429.72x = 8,872.38 × 3,633.24
  4. Step 4: Simplify right side
    6,429.72x = 32,235,485.91
  5. Step 5: Solve for x
    x = 32,235,485.91/6,429.72
  6. Step 6: Final answer
    x = 5,013.51

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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.