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Finding the Fourth Proportional to 4,205.97, 6,308.97 and 1,432.95

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Solution

The fourth proportional to 4,205.97, 6,308.97 and 1,432.95 is: 2,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.97 : 6,308.97 = 1,432.95 : x
  2. Step 2: Convert to fraction form
    4,205.97/6,308.97 = 1,432.95/x
  3. Step 3: Cross multiply
    4,205.97x = 6,308.97 × 1,432.95
  4. Step 4: Simplify right side
    4,205.97x = 9,040,438.56
  5. Step 5: Solve for x
    x = 9,040,438.56/4,205.97
  6. Step 6: Final answer
    x = 2,149.43

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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.