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Finding the Fourth Proportional to 3,424.43, 4,726.13 and 1,932.89

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Solution

The fourth proportional to 3,424.43, 4,726.13 and 1,932.89 is: 2,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.43 : 4,726.13 = 1,932.89 : x
  2. Step 2: Convert to fraction form
    3,424.43/4,726.13 = 1,932.89/x
  3. Step 3: Cross multiply
    3,424.43x = 4,726.13 × 1,932.89
  4. Step 4: Simplify right side
    3,424.43x = 9,135,056.12
  5. Step 5: Solve for x
    x = 9,135,056.12/3,424.43
  6. Step 6: Final answer
    x = 2,667.62

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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.