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Finding the Fourth Proportional to 6,186.75, 8,537.72 and 3,392.31

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Solution

The fourth proportional to 6,186.75, 8,537.72 and 3,392.31 is: 4,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.75 : 8,537.72 = 3,392.31 : x
  2. Step 2: Convert to fraction form
    6,186.75/8,537.72 = 3,392.31/x
  3. Step 3: Cross multiply
    6,186.75x = 8,537.72 × 3,392.31
  4. Step 4: Simplify right side
    6,186.75x = 28,962,575.97
  5. Step 5: Solve for x
    x = 28,962,575.97/6,186.75
  6. Step 6: Final answer
    x = 4,681.39

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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.