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Finding the Fourth Proportional to 3,755.73, 5,634 and 1,563.24

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Solution

The fourth proportional to 3,755.73, 5,634 and 1,563.24 is: 2,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.73 : 5,634 = 1,563.24 : x
  2. Step 2: Convert to fraction form
    3,755.73/5,634 = 1,563.24/x
  3. Step 3: Cross multiply
    3,755.73x = 5,634 × 1,563.24
  4. Step 4: Simplify right side
    3,755.73x = 8,807,294.16
  5. Step 5: Solve for x
    x = 8,807,294.16/3,755.73
  6. Step 6: Final answer
    x = 2,345.03

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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.