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Finding the Fourth Proportional to 5,194.16, 7,168.16 and 2,836.40

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Solution

The fourth proportional to 5,194.16, 7,168.16 and 2,836.40 is: 3,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.16 : 7,168.16 = 2,836.40 : x
  2. Step 2: Convert to fraction form
    5,194.16/7,168.16 = 2,836.40/x
  3. Step 3: Cross multiply
    5,194.16x = 7,168.16 × 2,836.40
  4. Step 4: Simplify right side
    5,194.16x = 20,331,769.02
  5. Step 5: Solve for x
    x = 20,331,769.02/5,194.16
  6. Step 6: Final answer
    x = 3,914.35

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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.