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Finding the Fourth Proportional to 3,523.70, 5,282.81 and 1,444.23

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Solution

The fourth proportional to 3,523.70, 5,282.81 and 1,444.23 is: 2,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.70 : 5,282.81 = 1,444.23 : x
  2. Step 2: Convert to fraction form
    3,523.70/5,282.81 = 1,444.23/x
  3. Step 3: Cross multiply
    3,523.70x = 5,282.81 × 1,444.23
  4. Step 4: Simplify right side
    3,523.70x = 7,629,592.69
  5. Step 5: Solve for x
    x = 7,629,592.69/3,523.70
  6. Step 6: Final answer
    x = 2,165.22

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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.