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Finding the Fourth Proportional to 6,329.98, 8,732.06 and 4,204.94

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Solution

The fourth proportional to 6,329.98, 8,732.06 and 4,204.94 is: 5,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.98 : 8,732.06 = 4,204.94 : x
  2. Step 2: Convert to fraction form
    6,329.98/8,732.06 = 4,204.94/x
  3. Step 3: Cross multiply
    6,329.98x = 8,732.06 × 4,204.94
  4. Step 4: Simplify right side
    6,329.98x = 36,717,788.38
  5. Step 5: Solve for x
    x = 36,717,788.38/6,329.98
  6. Step 6: Final answer
    x = 5,800.62

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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.