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Finding the Fourth Proportional to 3,782.99, 5,662.35 and 2,023.59

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Solution

The fourth proportional to 3,782.99, 5,662.35 and 2,023.59 is: 3,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.99 : 5,662.35 = 2,023.59 : x
  2. Step 2: Convert to fraction form
    3,782.99/5,662.35 = 2,023.59/x
  3. Step 3: Cross multiply
    3,782.99x = 5,662.35 × 2,023.59
  4. Step 4: Simplify right side
    3,782.99x = 11,458,264.72
  5. Step 5: Solve for x
    x = 11,458,264.72/3,782.99
  6. Step 6: Final answer
    x = 3,028.90

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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.