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Finding the Fourth Proportional to 5,930.67, 8,894.49 and 1,769.70

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Solution

The fourth proportional to 5,930.67, 8,894.49 and 1,769.70 is: 2,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.67 : 8,894.49 = 1,769.70 : x
  2. Step 2: Convert to fraction form
    5,930.67/8,894.49 = 1,769.70/x
  3. Step 3: Cross multiply
    5,930.67x = 8,894.49 × 1,769.70
  4. Step 4: Simplify right side
    5,930.67x = 15,740,578.95
  5. Step 5: Solve for x
    x = 15,740,578.95/5,930.67
  6. Step 6: Final answer
    x = 2,654.10

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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.