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Finding the Fourth Proportional to 3,053.72, 4,214.10 and 1,727.44

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Solution

The fourth proportional to 3,053.72, 4,214.10 and 1,727.44 is: 2,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.72 : 4,214.10 = 1,727.44 : x
  2. Step 2: Convert to fraction form
    3,053.72/4,214.10 = 1,727.44/x
  3. Step 3: Cross multiply
    3,053.72x = 4,214.10 × 1,727.44
  4. Step 4: Simplify right side
    3,053.72x = 7,279,604.90
  5. Step 5: Solve for x
    x = 7,279,604.90/3,053.72
  6. Step 6: Final answer
    x = 2,383.85

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