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Finding the Fourth Proportional to 3,426.67, 4,729.13 and 2,167.78

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Solution

The fourth proportional to 3,426.67, 4,729.13 and 2,167.78 is: 2,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.67 : 4,729.13 = 2,167.78 : x
  2. Step 2: Convert to fraction form
    3,426.67/4,729.13 = 2,167.78/x
  3. Step 3: Cross multiply
    3,426.67x = 4,729.13 × 2,167.78
  4. Step 4: Simplify right side
    3,426.67x = 10,251,719.96
  5. Step 5: Solve for x
    x = 10,251,719.96/3,426.67
  6. Step 6: Final answer
    x = 2,991.74

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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.