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Finding the Fourth Proportional to 5,275.50, 7,909.62 and 3,196.08

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Solution

The fourth proportional to 5,275.50, 7,909.62 and 3,196.08 is: 4,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.50 : 7,909.62 = 3,196.08 : x
  2. Step 2: Convert to fraction form
    5,275.50/7,909.62 = 3,196.08/x
  3. Step 3: Cross multiply
    5,275.50x = 7,909.62 × 3,196.08
  4. Step 4: Simplify right side
    5,275.50x = 25,279,778.29
  5. Step 5: Solve for x
    x = 25,279,778.29/5,275.50
  6. Step 6: Final answer
    x = 4,791.92

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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.