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Finding the Fourth Proportional to 3,425.46, 4,727.34 and 1,932.82

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Solution

The fourth proportional to 3,425.46, 4,727.34 and 1,932.82 is: 2,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.46 : 4,727.34 = 1,932.82 : x
  2. Step 2: Convert to fraction form
    3,425.46/4,727.34 = 1,932.82/x
  3. Step 3: Cross multiply
    3,425.46x = 4,727.34 × 1,932.82
  4. Step 4: Simplify right side
    3,425.46x = 9,137,097.30
  5. Step 5: Solve for x
    x = 9,137,097.30/3,425.46
  6. Step 6: Final answer
    x = 2,667.41

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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.