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Finding the Fourth Proportional to 5,186.33, 7,127.62 and 4,858.28

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Solution

The fourth proportional to 5,186.33, 7,127.62 and 4,858.28 is: 6,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.33 : 7,127.62 = 4,858.28 : x
  2. Step 2: Convert to fraction form
    5,186.33/7,127.62 = 4,858.28/x
  3. Step 3: Cross multiply
    5,186.33x = 7,127.62 × 4,858.28
  4. Step 4: Simplify right side
    5,186.33x = 34,627,973.69
  5. Step 5: Solve for x
    x = 34,627,973.69/5,186.33
  6. Step 6: Final answer
    x = 6,676.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.