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Finding the Fourth Proportional to 3,836.01, 5,755.74 and 1,728.16

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Solution

The fourth proportional to 3,836.01, 5,755.74 and 1,728.16 is: 2,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.01 : 5,755.74 = 1,728.16 : x
  2. Step 2: Convert to fraction form
    3,836.01/5,755.74 = 1,728.16/x
  3. Step 3: Cross multiply
    3,836.01x = 5,755.74 × 1,728.16
  4. Step 4: Simplify right side
    3,836.01x = 9,946,822.82
  5. Step 5: Solve for x
    x = 9,946,822.82/3,836.01
  6. Step 6: Final answer
    x = 2,593.02

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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.