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Finding the Fourth Proportional to 3,693.27, 5,538.54 and 1,227.63

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Solution

The fourth proportional to 3,693.27, 5,538.54 and 1,227.63 is: 1,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.27 : 5,538.54 = 1,227.63 : x
  2. Step 2: Convert to fraction form
    3,693.27/5,538.54 = 1,227.63/x
  3. Step 3: Cross multiply
    3,693.27x = 5,538.54 × 1,227.63
  4. Step 4: Simplify right side
    3,693.27x = 6,799,277.86
  5. Step 5: Solve for x
    x = 6,799,277.86/3,693.27
  6. Step 6: Final answer
    x = 1,840.99

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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.