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Finding the Fourth Proportional to 3,053.57, 4,214.00 and 1,727.24

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Solution

The fourth proportional to 3,053.57, 4,214.00 and 1,727.24 is: 2,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.57 : 4,214.00 = 1,727.24 : x
  2. Step 2: Convert to fraction form
    3,053.57/4,214.00 = 1,727.24/x
  3. Step 3: Cross multiply
    3,053.57x = 4,214.00 × 1,727.24
  4. Step 4: Simplify right side
    3,053.57x = 7,278,604.21
  5. Step 5: Solve for x
    x = 7,278,604.21/3,053.57
  6. Step 6: Final answer
    x = 2,383.64

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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.