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Finding the Fourth Proportional to 4,305.52, 5,982.34 and 4,259.80

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Solution

The fourth proportional to 4,305.52, 5,982.34 and 4,259.80 is: 5,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.52 : 5,982.34 = 4,259.80 : x
  2. Step 2: Convert to fraction form
    4,305.52/5,982.34 = 4,259.80/x
  3. Step 3: Cross multiply
    4,305.52x = 5,982.34 × 4,259.80
  4. Step 4: Simplify right side
    4,305.52x = 25,483,571.93
  5. Step 5: Solve for x
    x = 25,483,571.93/4,305.52
  6. Step 6: Final answer
    x = 5,918.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.