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Finding the Fourth Proportional to 4,287.44, 5,910.72 and 4,194.29

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Solution

The fourth proportional to 4,287.44, 5,910.72 and 4,194.29 is: 5,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.44 : 5,910.72 = 4,194.29 : x
  2. Step 2: Convert to fraction form
    4,287.44/5,910.72 = 4,194.29/x
  3. Step 3: Cross multiply
    4,287.44x = 5,910.72 × 4,194.29
  4. Step 4: Simplify right side
    4,287.44x = 24,791,273.79
  5. Step 5: Solve for x
    x = 24,791,273.79/4,287.44
  6. Step 6: Final answer
    x = 5,782.30

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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.