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Finding the Fourth Proportional to 5,218.25, 7,201.17 and 2,860.38

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Solution

The fourth proportional to 5,218.25, 7,201.17 and 2,860.38 is: 3,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.25 : 7,201.17 = 2,860.38 : x
  2. Step 2: Convert to fraction form
    5,218.25/7,201.17 = 2,860.38/x
  3. Step 3: Cross multiply
    5,218.25x = 7,201.17 × 2,860.38
  4. Step 4: Simplify right side
    5,218.25x = 20,598,082.64
  5. Step 5: Solve for x
    x = 20,598,082.64/5,218.25
  6. Step 6: Final answer
    x = 3,947.32

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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.