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Finding the Fourth Proportional to 5,209.70, 7,189.29 and 2,851.78

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Solution

The fourth proportional to 5,209.70, 7,189.29 and 2,851.78 is: 3,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.70 : 7,189.29 = 2,851.78 : x
  2. Step 2: Convert to fraction form
    5,209.70/7,189.29 = 2,851.78/x
  3. Step 3: Cross multiply
    5,209.70x = 7,189.29 × 2,851.78
  4. Step 4: Simplify right side
    5,209.70x = 20,502,273.44
  5. Step 5: Solve for x
    x = 20,502,273.44/5,209.70
  6. Step 6: Final answer
    x = 3,935.40

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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.