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Finding the Fourth Proportional to 4,797.44, 7,196.16 and 2,744

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Solution

The fourth proportional to 4,797.44, 7,196.16 and 2,744 is: 4,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.44 : 7,196.16 = 2,744 : x
  2. Step 2: Convert to fraction form
    4,797.44/7,196.16 = 2,744/x
  3. Step 3: Cross multiply
    4,797.44x = 7,196.16 × 2,744
  4. Step 4: Simplify right side
    4,797.44x = 19,746,263.04
  5. Step 5: Solve for x
    x = 19,746,263.04/4,797.44
  6. Step 6: Final answer
    x = 4,116

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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.