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Finding the Fourth Proportional to 5,218.22, 7,200.98 and 2,860.31

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Solution

The fourth proportional to 5,218.22, 7,200.98 and 2,860.31 is: 3,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.22 : 7,200.98 = 2,860.31 : x
  2. Step 2: Convert to fraction form
    5,218.22/7,200.98 = 2,860.31/x
  3. Step 3: Cross multiply
    5,218.22x = 7,200.98 × 2,860.31
  4. Step 4: Simplify right side
    5,218.22x = 20,597,035.10
  5. Step 5: Solve for x
    x = 20,597,035.10/5,218.22
  6. Step 6: Final answer
    x = 3,947.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.