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Finding the Fourth Proportional to 6,429.92, 8,872.88 and 3,635.24

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Solution

The fourth proportional to 6,429.92, 8,872.88 and 3,635.24 is: 5,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.92 : 8,872.88 = 3,635.24 : x
  2. Step 2: Convert to fraction form
    6,429.92/8,872.88 = 3,635.24/x
  3. Step 3: Cross multiply
    6,429.92x = 8,872.88 × 3,635.24
  4. Step 4: Simplify right side
    6,429.92x = 32,255,048.29
  5. Step 5: Solve for x
    x = 32,255,048.29/6,429.92
  6. Step 6: Final answer
    x = 5,016.40

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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.