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Finding the Fourth Proportional to 3,693.48, 5,540.17 and 920.17

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Solution

The fourth proportional to 3,693.48, 5,540.17 and 920.17 is: 1,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.48 : 5,540.17 = 920.17 : x
  2. Step 2: Convert to fraction form
    3,693.48/5,540.17 = 920.17/x
  3. Step 3: Cross multiply
    3,693.48x = 5,540.17 × 920.17
  4. Step 4: Simplify right side
    3,693.48x = 5,097,893.63
  5. Step 5: Solve for x
    x = 5,097,893.63/3,693.48
  6. Step 6: Final answer
    x = 1,380.24

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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.