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Finding the Fourth Proportional to 5,218.72, 7,202 and 2,860.84

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Solution

The fourth proportional to 5,218.72, 7,202 and 2,860.84 is: 3,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.72 : 7,202 = 2,860.84 : x
  2. Step 2: Convert to fraction form
    5,218.72/7,202 = 2,860.84/x
  3. Step 3: Cross multiply
    5,218.72x = 7,202 × 2,860.84
  4. Step 4: Simplify right side
    5,218.72x = 20,603,769.68
  5. Step 5: Solve for x
    x = 20,603,769.68/5,218.72
  6. Step 6: Final answer
    x = 3,948.05

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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.