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Finding the Fourth Proportional to 4,797.92, 6,619.20 and 2,936

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Solution

The fourth proportional to 4,797.92, 6,619.20 and 2,936 is: 4,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.92 : 6,619.20 = 2,936 : x
  2. Step 2: Convert to fraction form
    4,797.92/6,619.20 = 2,936/x
  3. Step 3: Cross multiply
    4,797.92x = 6,619.20 × 2,936
  4. Step 4: Simplify right side
    4,797.92x = 19,433,971.20
  5. Step 5: Solve for x
    x = 19,433,971.20/4,797.92
  6. Step 6: Final answer
    x = 4,050.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.