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Finding the Fourth Proportional to 5,194.65, 7,168.34 and 2,836.33

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Solution

The fourth proportional to 5,194.65, 7,168.34 and 2,836.33 is: 3,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.65 : 7,168.34 = 2,836.33 : x
  2. Step 2: Convert to fraction form
    5,194.65/7,168.34 = 2,836.33/x
  3. Step 3: Cross multiply
    5,194.65x = 7,168.34 × 2,836.33
  4. Step 4: Simplify right side
    5,194.65x = 20,331,777.79
  5. Step 5: Solve for x
    x = 20,331,777.79/5,194.65
  6. Step 6: Final answer
    x = 3,913.98

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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.