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Finding the Fourth Proportional to 3,286.34, 4,533.90 and 2,167.82

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Solution

The fourth proportional to 3,286.34, 4,533.90 and 2,167.82 is: 2,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.34 : 4,533.90 = 2,167.82 : x
  2. Step 2: Convert to fraction form
    3,286.34/4,533.90 = 2,167.82/x
  3. Step 3: Cross multiply
    3,286.34x = 4,533.90 × 2,167.82
  4. Step 4: Simplify right side
    3,286.34x = 9,828,679.10
  5. Step 5: Solve for x
    x = 9,828,679.10/3,286.34
  6. Step 6: Final answer
    x = 2,990.77

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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.