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Finding the Fourth Proportional to 3,633.92, 5,454.12 and 1,446.92

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Solution

The fourth proportional to 3,633.92, 5,454.12 and 1,446.92 is: 2,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.92 : 5,454.12 = 1,446.92 : x
  2. Step 2: Convert to fraction form
    3,633.92/5,454.12 = 1,446.92/x
  3. Step 3: Cross multiply
    3,633.92x = 5,454.12 × 1,446.92
  4. Step 4: Simplify right side
    3,633.92x = 7,891,675.31
  5. Step 5: Solve for x
    x = 7,891,675.31/3,633.92
  6. Step 6: Final answer
    x = 2,171.67

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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.