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Finding the Fourth Proportional to 3,693.72, 5,538.97 and 1,353.12

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Solution

The fourth proportional to 3,693.72, 5,538.97 and 1,353.12 is: 2,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.72 : 5,538.97 = 1,353.12 : x
  2. Step 2: Convert to fraction form
    3,693.72/5,538.97 = 1,353.12/x
  3. Step 3: Cross multiply
    3,693.72x = 5,538.97 × 1,353.12
  4. Step 4: Simplify right side
    3,693.72x = 7,494,895.55
  5. Step 5: Solve for x
    x = 7,494,895.55/3,693.72
  6. Step 6: Final answer
    x = 2,029.09

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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.