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Finding the Fourth Proportional to 3,221.97, 4,413 and 3,032.84

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Solution

The fourth proportional to 3,221.97, 4,413 and 3,032.84 is: 4,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.97 : 4,413 = 3,032.84 : x
  2. Step 2: Convert to fraction form
    3,221.97/4,413 = 3,032.84/x
  3. Step 3: Cross multiply
    3,221.97x = 4,413 × 3,032.84
  4. Step 4: Simplify right side
    3,221.97x = 13,383,922.92
  5. Step 5: Solve for x
    x = 13,383,922.92/3,221.97
  6. Step 6: Final answer
    x = 4,153.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.