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Finding the Fourth Proportional to 4,895.73, 7,344.68 and 1,433.25

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Solution

The fourth proportional to 4,895.73, 7,344.68 and 1,433.25 is: 2,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.73 : 7,344.68 = 1,433.25 : x
  2. Step 2: Convert to fraction form
    4,895.73/7,344.68 = 1,433.25/x
  3. Step 3: Cross multiply
    4,895.73x = 7,344.68 × 1,433.25
  4. Step 4: Simplify right side
    4,895.73x = 10,526,755.44
  5. Step 5: Solve for x
    x = 10,526,755.44/4,895.73
  6. Step 6: Final answer
    x = 2,150.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.