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Finding the Fourth Proportional to 3,425.52, 4,727.25 and 2,028

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Solution

The fourth proportional to 3,425.52, 4,727.25 and 2,028 is: 2,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.52 : 4,727.25 = 2,028 : x
  2. Step 2: Convert to fraction form
    3,425.52/4,727.25 = 2,028/x
  3. Step 3: Cross multiply
    3,425.52x = 4,727.25 × 2,028
  4. Step 4: Simplify right side
    3,425.52x = 9,586,863
  5. Step 5: Solve for x
    x = 9,586,863/3,425.52
  6. Step 6: Final answer
    x = 2,798.66

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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.