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Finding the Fourth Proportional to 5,754.09, 8,631.25 and 1,805.26

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Solution

The fourth proportional to 5,754.09, 8,631.25 and 1,805.26 is: 2,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.09 : 8,631.25 = 1,805.26 : x
  2. Step 2: Convert to fraction form
    5,754.09/8,631.25 = 1,805.26/x
  3. Step 3: Cross multiply
    5,754.09x = 8,631.25 × 1,805.26
  4. Step 4: Simplify right side
    5,754.09x = 15,581,650.38
  5. Step 5: Solve for x
    x = 15,581,650.38/5,754.09
  6. Step 6: Final answer
    x = 2,707.93

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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.