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Finding the Fourth Proportional to 3,782.26, 5,219.12 and 2,289.64

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Solution

The fourth proportional to 3,782.26, 5,219.12 and 2,289.64 is: 3,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.26 : 5,219.12 = 2,289.64 : x
  2. Step 2: Convert to fraction form
    3,782.26/5,219.12 = 2,289.64/x
  3. Step 3: Cross multiply
    3,782.26x = 5,219.12 × 2,289.64
  4. Step 4: Simplify right side
    3,782.26x = 11,949,905.92
  5. Step 5: Solve for x
    x = 11,949,905.92/3,782.26
  6. Step 6: Final answer
    x = 3,159.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.