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Finding the Fourth Proportional to 4,825.97, 6,659.93 and 3,764.94

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Solution

The fourth proportional to 4,825.97, 6,659.93 and 3,764.94 is: 5,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.97 : 6,659.93 = 3,764.94 : x
  2. Step 2: Convert to fraction form
    4,825.97/6,659.93 = 3,764.94/x
  3. Step 3: Cross multiply
    4,825.97x = 6,659.93 × 3,764.94
  4. Step 4: Simplify right side
    4,825.97x = 25,074,221.29
  5. Step 5: Solve for x
    x = 25,074,221.29/4,825.97
  6. Step 6: Final answer
    x = 5,195.68

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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.