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Finding the Fourth Proportional to 4,163.74, 5,745 and 2,395

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Solution

The fourth proportional to 4,163.74, 5,745 and 2,395 is: 3,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.74 : 5,745 = 2,395 : x
  2. Step 2: Convert to fraction form
    4,163.74/5,745 = 2,395/x
  3. Step 3: Cross multiply
    4,163.74x = 5,745 × 2,395
  4. Step 4: Simplify right side
    4,163.74x = 13,759,275
  5. Step 5: Solve for x
    x = 13,759,275/4,163.74
  6. Step 6: Final answer
    x = 3,304.55

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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.