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Finding the Fourth Proportional to 6,515.88, 8,992.65 and 3,684.39

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Solution

The fourth proportional to 6,515.88, 8,992.65 and 3,684.39 is: 5,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.88 : 8,992.65 = 3,684.39 : x
  2. Step 2: Convert to fraction form
    6,515.88/8,992.65 = 3,684.39/x
  3. Step 3: Cross multiply
    6,515.88x = 8,992.65 × 3,684.39
  4. Step 4: Simplify right side
    6,515.88x = 33,132,429.73
  5. Step 5: Solve for x
    x = 33,132,429.73/6,515.88
  6. Step 6: Final answer
    x = 5,084.87

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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.