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Finding the Fourth Proportional to 4,238.04, 6,354.42 and 1,639.80

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Solution

The fourth proportional to 4,238.04, 6,354.42 and 1,639.80 is: 2,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.04 : 6,354.42 = 1,639.80 : x
  2. Step 2: Convert to fraction form
    4,238.04/6,354.42 = 1,639.80/x
  3. Step 3: Cross multiply
    4,238.04x = 6,354.42 × 1,639.80
  4. Step 4: Simplify right side
    4,238.04x = 10,419,977.92
  5. Step 5: Solve for x
    x = 10,419,977.92/4,238.04
  6. Step 6: Final answer
    x = 2,458.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.