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Finding the Fourth Proportional to 3,053.46, 4,213.71 and 1,727.16

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Solution

The fourth proportional to 3,053.46, 4,213.71 and 1,727.16 is: 2,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.46 : 4,213.71 = 1,727.16 : x
  2. Step 2: Convert to fraction form
    3,053.46/4,213.71 = 1,727.16/x
  3. Step 3: Cross multiply
    3,053.46x = 4,213.71 × 1,727.16
  4. Step 4: Simplify right side
    3,053.46x = 7,277,735.56
  5. Step 5: Solve for x
    x = 7,277,735.56/3,053.46
  6. Step 6: Final answer
    x = 2,383.44

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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.