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Finding the Fourth Proportional to 5,753.82, 7,939.54 and 3,659.16

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Solution

The fourth proportional to 5,753.82, 7,939.54 and 3,659.16 is: 5,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.82 : 7,939.54 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    5,753.82/7,939.54 = 3,659.16/x
  3. Step 3: Cross multiply
    5,753.82x = 7,939.54 × 3,659.16
  4. Step 4: Simplify right side
    5,753.82x = 29,052,047.19
  5. Step 5: Solve for x
    x = 29,052,047.19/5,753.82
  6. Step 6: Final answer
    x = 5,049.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.