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Finding the Fourth Proportional to 3,693.34, 5,537.92 and 1,227.50

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Solution

The fourth proportional to 3,693.34, 5,537.92 and 1,227.50 is: 1,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.34 : 5,537.92 = 1,227.50 : x
  2. Step 2: Convert to fraction form
    3,693.34/5,537.92 = 1,227.50/x
  3. Step 3: Cross multiply
    3,693.34x = 5,537.92 × 1,227.50
  4. Step 4: Simplify right side
    3,693.34x = 6,797,796.80
  5. Step 5: Solve for x
    x = 6,797,796.80/3,693.34
  6. Step 6: Final answer
    x = 1,840.56

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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.