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Finding the Fourth Proportional to 5,977.73, 8,974.80 and 3,796.20

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Solution

The fourth proportional to 5,977.73, 8,974.80 and 3,796.20 is: 5,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.73 : 8,974.80 = 3,796.20 : x
  2. Step 2: Convert to fraction form
    5,977.73/8,974.80 = 3,796.20/x
  3. Step 3: Cross multiply
    5,977.73x = 8,974.80 × 3,796.20
  4. Step 4: Simplify right side
    5,977.73x = 34,070,135.76
  5. Step 5: Solve for x
    x = 34,070,135.76/5,977.73
  6. Step 6: Final answer
    x = 5,699.51

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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.