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Finding the Fourth Proportional to 3,675.43, 5,512.02 and 1,209.75

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Solution

The fourth proportional to 3,675.43, 5,512.02 and 1,209.75 is: 1,814.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.43 : 5,512.02 = 1,209.75 : x
  2. Step 2: Convert to fraction form
    3,675.43/5,512.02 = 1,209.75/x
  3. Step 3: Cross multiply
    3,675.43x = 5,512.02 × 1,209.75
  4. Step 4: Simplify right side
    3,675.43x = 6,668,166.20
  5. Step 5: Solve for x
    x = 6,668,166.20/3,675.43
  6. Step 6: Final answer
    x = 1,814.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.