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Finding the Fourth Proportional to 3,425.57, 4,727.49 and 1,932.94

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Solution

The fourth proportional to 3,425.57, 4,727.49 and 1,932.94 is: 2,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.57 : 4,727.49 = 1,932.94 : x
  2. Step 2: Convert to fraction form
    3,425.57/4,727.49 = 1,932.94/x
  3. Step 3: Cross multiply
    3,425.57x = 4,727.49 × 1,932.94
  4. Step 4: Simplify right side
    3,425.57x = 9,137,947.53
  5. Step 5: Solve for x
    x = 9,137,947.53/3,425.57
  6. Step 6: Final answer
    x = 2,667.57

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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.