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Finding the Fourth Proportional to 3,053.38, 4,213.76 and 1,727.06

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Solution

The fourth proportional to 3,053.38, 4,213.76 and 1,727.06 is: 2,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.38 : 4,213.76 = 1,727.06 : x
  2. Step 2: Convert to fraction form
    3,053.38/4,213.76 = 1,727.06/x
  3. Step 3: Cross multiply
    3,053.38x = 4,213.76 × 1,727.06
  4. Step 4: Simplify right side
    3,053.38x = 7,277,386.64
  5. Step 5: Solve for x
    x = 7,277,386.64/3,053.38
  6. Step 6: Final answer
    x = 2,383.39

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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.