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Finding the Fourth Proportional to 5,216.75, 7,199.31 and 2,858.90

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Solution

The fourth proportional to 5,216.75, 7,199.31 and 2,858.90 is: 3,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.75 : 7,199.31 = 2,858.90 : x
  2. Step 2: Convert to fraction form
    5,216.75/7,199.31 = 2,858.90/x
  3. Step 3: Cross multiply
    5,216.75x = 7,199.31 × 2,858.90
  4. Step 4: Simplify right side
    5,216.75x = 20,582,057.96
  5. Step 5: Solve for x
    x = 20,582,057.96/5,216.75
  6. Step 6: Final answer
    x = 3,945.38

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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.