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Finding the Fourth Proportional to 4,238.96, 6,352.92 and 2,043.20

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Solution

The fourth proportional to 4,238.96, 6,352.92 and 2,043.20 is: 3,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.96 : 6,352.92 = 2,043.20 : x
  2. Step 2: Convert to fraction form
    4,238.96/6,352.92 = 2,043.20/x
  3. Step 3: Cross multiply
    4,238.96x = 6,352.92 × 2,043.20
  4. Step 4: Simplify right side
    4,238.96x = 12,980,286.14
  5. Step 5: Solve for x
    x = 12,980,286.14/4,238.96
  6. Step 6: Final answer
    x = 3,062.14

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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.