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Finding the Fourth Proportional to 4,250.25, 5,865.14 and 2,361.95

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Solution

The fourth proportional to 4,250.25, 5,865.14 and 2,361.95 is: 3,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250.25 : 5,865.14 = 2,361.95 : x
  2. Step 2: Convert to fraction form
    4,250.25/5,865.14 = 2,361.95/x
  3. Step 3: Cross multiply
    4,250.25x = 5,865.14 × 2,361.95
  4. Step 4: Simplify right side
    4,250.25x = 13,853,167.42
  5. Step 5: Solve for x
    x = 13,853,167.42/4,250.25
  6. Step 6: Final answer
    x = 3,259.38

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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.