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Finding the Fourth Proportional to 3,659.76, 5,484.21 and 2,197.20

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Solution

The fourth proportional to 3,659.76, 5,484.21 and 2,197.20 is: 3,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.76 : 5,484.21 = 2,197.20 : x
  2. Step 2: Convert to fraction form
    3,659.76/5,484.21 = 2,197.20/x
  3. Step 3: Cross multiply
    3,659.76x = 5,484.21 × 2,197.20
  4. Step 4: Simplify right side
    3,659.76x = 12,049,906.21
  5. Step 5: Solve for x
    x = 12,049,906.21/3,659.76
  6. Step 6: Final answer
    x = 3,292.54

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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.