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Finding the Fourth Proportional to 6,188.85, 8,537.82 and 4,304.97

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Solution

The fourth proportional to 6,188.85, 8,537.82 and 4,304.97 is: 5,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.85 : 8,537.82 = 4,304.97 : x
  2. Step 2: Convert to fraction form
    6,188.85/8,537.82 = 4,304.97/x
  3. Step 3: Cross multiply
    6,188.85x = 8,537.82 × 4,304.97
  4. Step 4: Simplify right side
    6,188.85x = 36,755,058.97
  5. Step 5: Solve for x
    x = 36,755,058.97/6,188.85
  6. Step 6: Final answer
    x = 5,938.92

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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.