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Finding the Fourth Proportional to 3,844.99, 5,765.55 and 1,764.37

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Solution

The fourth proportional to 3,844.99, 5,765.55 and 1,764.37 is: 2,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.99 : 5,765.55 = 1,764.37 : x
  2. Step 2: Convert to fraction form
    3,844.99/5,765.55 = 1,764.37/x
  3. Step 3: Cross multiply
    3,844.99x = 5,765.55 × 1,764.37
  4. Step 4: Simplify right side
    3,844.99x = 10,172,563.45
  5. Step 5: Solve for x
    x = 10,172,563.45/3,844.99
  6. Step 6: Final answer
    x = 2,645.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.