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Finding the Fourth Proportional to 3,633.42, 5,452.84 and 1,412.61

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Solution

The fourth proportional to 3,633.42, 5,452.84 and 1,412.61 is: 2,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.42 : 5,452.84 = 1,412.61 : x
  2. Step 2: Convert to fraction form
    3,633.42/5,452.84 = 1,412.61/x
  3. Step 3: Cross multiply
    3,633.42x = 5,452.84 × 1,412.61
  4. Step 4: Simplify right side
    3,633.42x = 7,702,709.05
  5. Step 5: Solve for x
    x = 7,702,709.05/3,633.42
  6. Step 6: Final answer
    x = 2,119.96

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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.