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Finding the Fourth Proportional to 3,513.96, 5,270.94 and 1,433.49

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Solution

The fourth proportional to 3,513.96, 5,270.94 and 1,433.49 is: 2,150.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.96 : 5,270.94 = 1,433.49 : x
  2. Step 2: Convert to fraction form
    3,513.96/5,270.94 = 1,433.49/x
  3. Step 3: Cross multiply
    3,513.96x = 5,270.94 × 1,433.49
  4. Step 4: Simplify right side
    3,513.96x = 7,555,839.78
  5. Step 5: Solve for x
    x = 7,555,839.78/3,513.96
  6. Step 6: Final answer
    x = 2,150.24

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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.