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Finding the Fourth Proportional to 3,659.85, 5,489.39 and 1,194.77

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Solution

The fourth proportional to 3,659.85, 5,489.39 and 1,194.77 is: 1,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.85 : 5,489.39 = 1,194.77 : x
  2. Step 2: Convert to fraction form
    3,659.85/5,489.39 = 1,194.77/x
  3. Step 3: Cross multiply
    3,659.85x = 5,489.39 × 1,194.77
  4. Step 4: Simplify right side
    3,659.85x = 6,558,575.20
  5. Step 5: Solve for x
    x = 6,558,575.20/3,659.85
  6. Step 6: Final answer
    x = 1,792.03

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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.