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Finding the Fourth Proportional to 6,085, 8,394.06 and 4,092.13

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Solution

The fourth proportional to 6,085, 8,394.06 and 4,092.13 is: 5,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085 : 8,394.06 = 4,092.13 : x
  2. Step 2: Convert to fraction form
    6,085/8,394.06 = 4,092.13/x
  3. Step 3: Cross multiply
    6,085x = 8,394.06 × 4,092.13
  4. Step 4: Simplify right side
    6,085x = 34,349,584.75
  5. Step 5: Solve for x
    x = 34,349,584.75/6,085
  6. Step 6: Final answer
    x = 5,644.96

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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.