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Finding the Fourth Proportional to 5,693.97, 8,540.65 and 2,185.66

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Solution

The fourth proportional to 5,693.97, 8,540.65 and 2,185.66 is: 3,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.97 : 8,540.65 = 2,185.66 : x
  2. Step 2: Convert to fraction form
    5,693.97/8,540.65 = 2,185.66/x
  3. Step 3: Cross multiply
    5,693.97x = 8,540.65 × 2,185.66
  4. Step 4: Simplify right side
    5,693.97x = 18,666,957.08
  5. Step 5: Solve for x
    x = 18,666,957.08/5,693.97
  6. Step 6: Final answer
    x = 3,278.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.