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Finding the Fourth Proportional to 3,898.20, 5,378.64 and 2,326

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Solution

The fourth proportional to 3,898.20, 5,378.64 and 2,326 is: 3,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.20 : 5,378.64 = 2,326 : x
  2. Step 2: Convert to fraction form
    3,898.20/5,378.64 = 2,326/x
  3. Step 3: Cross multiply
    3,898.20x = 5,378.64 × 2,326
  4. Step 4: Simplify right side
    3,898.20x = 12,510,716.64
  5. Step 5: Solve for x
    x = 12,510,716.64/3,898.20
  6. Step 6: Final answer
    x = 3,209.36

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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.