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Finding the Fourth Proportional to 5,186.41, 7,157.23 and 2,828.55

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Solution

The fourth proportional to 5,186.41, 7,157.23 and 2,828.55 is: 3,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.41 : 7,157.23 = 2,828.55 : x
  2. Step 2: Convert to fraction form
    5,186.41/7,157.23 = 2,828.55/x
  3. Step 3: Cross multiply
    5,186.41x = 7,157.23 × 2,828.55
  4. Step 4: Simplify right side
    5,186.41x = 20,244,582.92
  5. Step 5: Solve for x
    x = 20,244,582.92/5,186.41
  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.