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Finding the Fourth Proportional to 5,693.86, 8,544.66 and 1,996.06

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Solution

The fourth proportional to 5,693.86, 8,544.66 and 1,996.06 is: 2,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.86 : 8,544.66 = 1,996.06 : x
  2. Step 2: Convert to fraction form
    5,693.86/8,544.66 = 1,996.06/x
  3. Step 3: Cross multiply
    5,693.86x = 8,544.66 × 1,996.06
  4. Step 4: Simplify right side
    5,693.86x = 17,055,654.04
  5. Step 5: Solve for x
    x = 17,055,654.04/5,693.86
  6. Step 6: Final answer
    x = 2,995.45

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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.