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Finding the Fourth Proportional to 4,259.14, 5,868.83 and 4,201.73

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Solution

The fourth proportional to 4,259.14, 5,868.83 and 4,201.73 is: 5,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.14 : 5,868.83 = 4,201.73 : x
  2. Step 2: Convert to fraction form
    4,259.14/5,868.83 = 4,201.73/x
  3. Step 3: Cross multiply
    4,259.14x = 5,868.83 × 4,201.73
  4. Step 4: Simplify right side
    4,259.14x = 24,659,239.08
  5. Step 5: Solve for x
    x = 24,659,239.08/4,259.14
  6. Step 6: Final answer
    x = 5,789.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.