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Finding the Fourth Proportional to 6,516.50, 8,992.82 and 3,532.38

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Solution

The fourth proportional to 6,516.50, 8,992.82 and 3,532.38 is: 4,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.50 : 8,992.82 = 3,532.38 : x
  2. Step 2: Convert to fraction form
    6,516.50/8,992.82 = 3,532.38/x
  3. Step 3: Cross multiply
    6,516.50x = 8,992.82 × 3,532.38
  4. Step 4: Simplify right side
    6,516.50x = 31,766,108.50
  5. Step 5: Solve for x
    x = 31,766,108.50/6,516.50
  6. Step 6: Final answer
    x = 4,874.72

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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.