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Finding the Fourth Proportional to 4,138.28, 6,205.80 and 1,672.40

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Solution

The fourth proportional to 4,138.28, 6,205.80 and 1,672.40 is: 2,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.28 : 6,205.80 = 1,672.40 : x
  2. Step 2: Convert to fraction form
    4,138.28/6,205.80 = 1,672.40/x
  3. Step 3: Cross multiply
    4,138.28x = 6,205.80 × 1,672.40
  4. Step 4: Simplify right side
    4,138.28x = 10,378,579.92
  5. Step 5: Solve for x
    x = 10,378,579.92/4,138.28
  6. Step 6: Final answer
    x = 2,507.95

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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.