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Finding the Fourth Proportional to 3,693.01, 5,537.66 and 1,226.97

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Solution

The fourth proportional to 3,693.01, 5,537.66 and 1,226.97 is: 1,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.01 : 5,537.66 = 1,226.97 : x
  2. Step 2: Convert to fraction form
    3,693.01/5,537.66 = 1,226.97/x
  3. Step 3: Cross multiply
    3,693.01x = 5,537.66 × 1,226.97
  4. Step 4: Simplify right side
    3,693.01x = 6,794,515.00
  5. Step 5: Solve for x
    x = 6,794,515.00/3,693.01
  6. Step 6: Final answer
    x = 1,839.83

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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.