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Finding the Fourth Proportional to 3,620.80, 5,431.20 and 1,023.76

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Solution

The fourth proportional to 3,620.80, 5,431.20 and 1,023.76 is: 1,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.80 : 5,431.20 = 1,023.76 : x
  2. Step 2: Convert to fraction form
    3,620.80/5,431.20 = 1,023.76/x
  3. Step 3: Cross multiply
    3,620.80x = 5,431.20 × 1,023.76
  4. Step 4: Simplify right side
    3,620.80x = 5,560,245.31
  5. Step 5: Solve for x
    x = 5,560,245.31/3,620.80
  6. Step 6: Final answer
    x = 1,535.64

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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.