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Finding the Fourth Proportional to 5,194.71, 7,168.59 and 2,836.80

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Solution

The fourth proportional to 5,194.71, 7,168.59 and 2,836.80 is: 3,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.71 : 7,168.59 = 2,836.80 : x
  2. Step 2: Convert to fraction form
    5,194.71/7,168.59 = 2,836.80/x
  3. Step 3: Cross multiply
    5,194.71x = 7,168.59 × 2,836.80
  4. Step 4: Simplify right side
    5,194.71x = 20,335,856.11
  5. Step 5: Solve for x
    x = 20,335,856.11/5,194.71
  6. Step 6: Final answer
    x = 3,914.72

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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.