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Finding the Fourth Proportional to 5,188.96, 7,158.48 and 3,769.23

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Solution

The fourth proportional to 5,188.96, 7,158.48 and 3,769.23 is: 5,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.96 : 7,158.48 = 3,769.23 : x
  2. Step 2: Convert to fraction form
    5,188.96/7,158.48 = 3,769.23/x
  3. Step 3: Cross multiply
    5,188.96x = 7,158.48 × 3,769.23
  4. Step 4: Simplify right side
    5,188.96x = 26,981,970.28
  5. Step 5: Solve for x
    x = 26,981,970.28/5,188.96
  6. Step 6: Final answer
    x = 5,199.88

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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.