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Finding the Fourth Proportional to 3,535.38, 5,301 and 1,344.27

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Solution

The fourth proportional to 3,535.38, 5,301 and 1,344.27 is: 2,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.38 : 5,301 = 1,344.27 : x
  2. Step 2: Convert to fraction form
    3,535.38/5,301 = 1,344.27/x
  3. Step 3: Cross multiply
    3,535.38x = 5,301 × 1,344.27
  4. Step 4: Simplify right side
    3,535.38x = 7,125,975.27
  5. Step 5: Solve for x
    x = 7,125,975.27/3,535.38
  6. Step 6: Final answer
    x = 2,015.62

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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.