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Finding the Fourth Proportional to 3,593.70, 5,390.82 and 1,645.92

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Solution

The fourth proportional to 3,593.70, 5,390.82 and 1,645.92 is: 2,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.70 : 5,390.82 = 1,645.92 : x
  2. Step 2: Convert to fraction form
    3,593.70/5,390.82 = 1,645.92/x
  3. Step 3: Cross multiply
    3,593.70x = 5,390.82 × 1,645.92
  4. Step 4: Simplify right side
    3,593.70x = 8,872,858.45
  5. Step 5: Solve for x
    x = 8,872,858.45/3,593.70
  6. Step 6: Final answer
    x = 2,469.00

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1.5x scale

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.