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Finding the Fourth Proportional to 4,194.68, 5,786.10 and 3,017.34

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Solution

The fourth proportional to 4,194.68, 5,786.10 and 3,017.34 is: 4,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.68 : 5,786.10 = 3,017.34 : x
  2. Step 2: Convert to fraction form
    4,194.68/5,786.10 = 3,017.34/x
  3. Step 3: Cross multiply
    4,194.68x = 5,786.10 × 3,017.34
  4. Step 4: Simplify right side
    4,194.68x = 17,458,630.97
  5. Step 5: Solve for x
    x = 17,458,630.97/4,194.68
  6. Step 6: Final answer
    x = 4,162.09

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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.