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Finding the Fourth Proportional to 3,425.71, 4,727.70 and 1,933.08

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Solution

The fourth proportional to 3,425.71, 4,727.70 and 1,933.08 is: 2,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.71 : 4,727.70 = 1,933.08 : x
  2. Step 2: Convert to fraction form
    3,425.71/4,727.70 = 1,933.08/x
  3. Step 3: Cross multiply
    3,425.71x = 4,727.70 × 1,933.08
  4. Step 4: Simplify right side
    3,425.71x = 9,139,012.65
  5. Step 5: Solve for x
    x = 9,139,012.65/3,425.71
  6. Step 6: Final answer
    x = 2,667.78

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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.