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Finding the Fourth Proportional to 4,947.96, 7,424.02 and 2,173.20

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Solution

The fourth proportional to 4,947.96, 7,424.02 and 2,173.20 is: 3,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.96 : 7,424.02 = 2,173.20 : x
  2. Step 2: Convert to fraction form
    4,947.96/7,424.02 = 2,173.20/x
  3. Step 3: Cross multiply
    4,947.96x = 7,424.02 × 2,173.20
  4. Step 4: Simplify right side
    4,947.96x = 16,133,880.26
  5. Step 5: Solve for x
    x = 16,133,880.26/4,947.96
  6. Step 6: Final answer
    x = 3,260.71

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Why These Related Problems?

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