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Finding the Fourth Proportional to 5,860, 8,084.89 and 4,092.58

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Solution

The fourth proportional to 5,860, 8,084.89 and 4,092.58 is: 5,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860 : 8,084.89 = 4,092.58 : x
  2. Step 2: Convert to fraction form
    5,860/8,084.89 = 4,092.58/x
  3. Step 3: Cross multiply
    5,860x = 8,084.89 × 4,092.58
  4. Step 4: Simplify right side
    5,860x = 33,088,059.12
  5. Step 5: Solve for x
    x = 33,088,059.12/5,860
  6. Step 6: Final answer
    x = 5,646.43

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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.