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Finding the Fourth Proportional to 5,274, 7,909.92 and 2,675.52

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Solution

The fourth proportional to 5,274, 7,909.92 and 2,675.52 is: 4,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274 : 7,909.92 = 2,675.52 : x
  2. Step 2: Convert to fraction form
    5,274/7,909.92 = 2,675.52/x
  3. Step 3: Cross multiply
    5,274x = 7,909.92 × 2,675.52
  4. Step 4: Simplify right side
    5,274x = 21,163,149.16
  5. Step 5: Solve for x
    x = 21,163,149.16/5,274
  6. Step 6: Final answer
    x = 4,012.73

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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.