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Finding the Fourth Proportional to 5,186.39, 7,157.25 and 2,828.48

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Solution

The fourth proportional to 5,186.39, 7,157.25 and 2,828.48 is: 3,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.39 : 7,157.25 = 2,828.48 : x
  2. Step 2: Convert to fraction form
    5,186.39/7,157.25 = 2,828.48/x
  3. Step 3: Cross multiply
    5,186.39x = 7,157.25 × 2,828.48
  4. Step 4: Simplify right side
    5,186.39x = 20,244,156.37
  5. Step 5: Solve for x
    x = 20,244,156.37/5,186.39
  6. Step 6: Final answer
    x = 3,903.32

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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.