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Finding the Fourth Proportional to 4,324.95, 5,965.25 and 3,205.94

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Solution

The fourth proportional to 4,324.95, 5,965.25 and 3,205.94 is: 4,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.95 : 5,965.25 = 3,205.94 : x
  2. Step 2: Convert to fraction form
    4,324.95/5,965.25 = 3,205.94/x
  3. Step 3: Cross multiply
    4,324.95x = 5,965.25 × 3,205.94
  4. Step 4: Simplify right side
    4,324.95x = 19,124,187.73
  5. Step 5: Solve for x
    x = 19,124,187.73/4,324.95
  6. Step 6: Final answer
    x = 4,421.83

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1.5x scale

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.