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Finding the Fourth Proportional to 3,782.59, 5,661.75 and 2,023.20

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Solution

The fourth proportional to 3,782.59, 5,661.75 and 2,023.20 is: 3,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.59 : 5,661.75 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    3,782.59/5,661.75 = 2,023.20/x
  3. Step 3: Cross multiply
    3,782.59x = 5,661.75 × 2,023.20
  4. Step 4: Simplify right side
    3,782.59x = 11,454,852.60
  5. Step 5: Solve for x
    x = 11,454,852.60/3,782.59
  6. Step 6: Final answer
    x = 3,028.31

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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.