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Finding the Fourth Proportional to 5,209.65, 7,189.04 and 2,851.34

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Solution

The fourth proportional to 5,209.65, 7,189.04 and 2,851.34 is: 3,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.65 : 7,189.04 = 2,851.34 : x
  2. Step 2: Convert to fraction form
    5,209.65/7,189.04 = 2,851.34/x
  3. Step 3: Cross multiply
    5,209.65x = 7,189.04 × 2,851.34
  4. Step 4: Simplify right side
    5,209.65x = 20,498,361.37
  5. Step 5: Solve for x
    x = 20,498,361.37/5,209.65
  6. Step 6: Final answer
    x = 3,934.69

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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.