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Finding the Fourth Proportional to 3,659.60, 5,486.20 and 3,270.80

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Solution

The fourth proportional to 3,659.60, 5,486.20 and 3,270.80 is: 4,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.60 : 5,486.20 = 3,270.80 : x
  2. Step 2: Convert to fraction form
    3,659.60/5,486.20 = 3,270.80/x
  3. Step 3: Cross multiply
    3,659.60x = 5,486.20 × 3,270.80
  4. Step 4: Simplify right side
    3,659.60x = 17,944,262.96
  5. Step 5: Solve for x
    x = 17,944,262.96/3,659.60
  6. Step 6: Final answer
    x = 4,903.34

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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.