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Finding the Fourth Proportional to 5,186.44, 7,157.33 and 2,828.53

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Solution

The fourth proportional to 5,186.44, 7,157.33 and 2,828.53 is: 3,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.44 : 7,157.33 = 2,828.53 : x
  2. Step 2: Convert to fraction form
    5,186.44/7,157.33 = 2,828.53/x
  3. Step 3: Cross multiply
    5,186.44x = 7,157.33 × 2,828.53
  4. Step 4: Simplify right side
    5,186.44x = 20,244,722.62
  5. Step 5: Solve for x
    x = 20,244,722.62/5,186.44
  6. Step 6: Final answer
    x = 3,903.39

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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.