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Finding the Fourth Proportional to 5,631.50, 7,770.12 and 3,273.18

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Solution

The fourth proportional to 5,631.50, 7,770.12 and 3,273.18 is: 4,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.50 : 7,770.12 = 3,273.18 : x
  2. Step 2: Convert to fraction form
    5,631.50/7,770.12 = 3,273.18/x
  3. Step 3: Cross multiply
    5,631.50x = 7,770.12 × 3,273.18
  4. Step 4: Simplify right side
    5,631.50x = 25,433,001.38
  5. Step 5: Solve for x
    x = 25,433,001.38/5,631.50
  6. Step 6: Final answer
    x = 4,516.20

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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.