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Finding the Fourth Proportional to 5,209.86, 7,189.78 and 2,852.02

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Solution

The fourth proportional to 5,209.86, 7,189.78 and 2,852.02 is: 3,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.86 : 7,189.78 = 2,852.02 : x
  2. Step 2: Convert to fraction form
    5,209.86/7,189.78 = 2,852.02/x
  3. Step 3: Cross multiply
    5,209.86x = 7,189.78 × 2,852.02
  4. Step 4: Simplify right side
    5,209.86x = 20,505,396.36
  5. Step 5: Solve for x
    x = 20,505,396.36/5,209.86
  6. Step 6: Final answer
    x = 3,935.88

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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.