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Finding the Fourth Proportional to 3,764.70, 5,647.05 and 3,604.73

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Solution

The fourth proportional to 3,764.70, 5,647.05 and 3,604.73 is: 5,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.70 : 5,647.05 = 3,604.73 : x
  2. Step 2: Convert to fraction form
    3,764.70/5,647.05 = 3,604.73/x
  3. Step 3: Cross multiply
    3,764.70x = 5,647.05 × 3,604.73
  4. Step 4: Simplify right side
    3,764.70x = 20,356,062.31
  5. Step 5: Solve for x
    x = 20,356,062.31/3,764.70
  6. Step 6: Final answer
    x = 5,407.09

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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.