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Finding the Fourth Proportional to 3,693.38, 5,538 and 1,227.54

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Solution

The fourth proportional to 3,693.38, 5,538 and 1,227.54 is: 1,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.38 : 5,538 = 1,227.54 : x
  2. Step 2: Convert to fraction form
    3,693.38/5,538 = 1,227.54/x
  3. Step 3: Cross multiply
    3,693.38x = 5,538 × 1,227.54
  4. Step 4: Simplify right side
    3,693.38x = 6,798,116.52
  5. Step 5: Solve for x
    x = 6,798,116.52/3,693.38
  6. Step 6: Final answer
    x = 1,840.62

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Why These Related Problems?

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