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Finding the Fourth Proportional to 3,489.67, 5,235.42 and 2,027.42

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Solution

The fourth proportional to 3,489.67, 5,235.42 and 2,027.42 is: 3,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.67 : 5,235.42 = 2,027.42 : x
  2. Step 2: Convert to fraction form
    3,489.67/5,235.42 = 2,027.42/x
  3. Step 3: Cross multiply
    3,489.67x = 5,235.42 × 2,027.42
  4. Step 4: Simplify right side
    3,489.67x = 10,614,395.22
  5. Step 5: Solve for x
    x = 10,614,395.22/3,489.67
  6. Step 6: Final answer
    x = 3,041.66

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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.