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Finding the Fourth Proportional to 3,286.78, 4,538.78 and 2,109.90

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Solution

The fourth proportional to 3,286.78, 4,538.78 and 2,109.90 is: 2,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.78 : 4,538.78 = 2,109.90 : x
  2. Step 2: Convert to fraction form
    3,286.78/4,538.78 = 2,109.90/x
  3. Step 3: Cross multiply
    3,286.78x = 4,538.78 × 2,109.90
  4. Step 4: Simplify right side
    3,286.78x = 9,576,372.64
  5. Step 5: Solve for x
    x = 9,576,372.64/3,286.78
  6. Step 6: Final answer
    x = 2,913.61

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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.