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Finding the Fourth Proportional to 6,516.78, 8,992.80 and 3,684.48

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Solution

The fourth proportional to 6,516.78, 8,992.80 and 3,684.48 is: 5,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.78 : 8,992.80 = 3,684.48 : x
  2. Step 2: Convert to fraction form
    6,516.78/8,992.80 = 3,684.48/x
  3. Step 3: Cross multiply
    6,516.78x = 8,992.80 × 3,684.48
  4. Step 4: Simplify right side
    6,516.78x = 33,133,791.74
  5. Step 5: Solve for x
    x = 33,133,791.74/6,516.78
  6. Step 6: Final answer
    x = 5,084.38

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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.