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Finding the Fourth Proportional to 5,209.38, 7,189.10 and 2,851.68

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Solution

The fourth proportional to 5,209.38, 7,189.10 and 2,851.68 is: 3,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.38 : 7,189.10 = 2,851.68 : x
  2. Step 2: Convert to fraction form
    5,209.38/7,189.10 = 2,851.68/x
  3. Step 3: Cross multiply
    5,209.38x = 7,189.10 × 2,851.68
  4. Step 4: Simplify right side
    5,209.38x = 20,500,962.48
  5. Step 5: Solve for x
    x = 20,500,962.48/5,209.38
  6. Step 6: Final answer
    x = 3,935.40

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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.