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Finding the Fourth Proportional to 3,782.32, 5,659.52 and 2,296.24

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Solution

The fourth proportional to 3,782.32, 5,659.52 and 2,296.24 is: 3,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.32 : 5,659.52 = 2,296.24 : x
  2. Step 2: Convert to fraction form
    3,782.32/5,659.52 = 2,296.24/x
  3. Step 3: Cross multiply
    3,782.32x = 5,659.52 × 2,296.24
  4. Step 4: Simplify right side
    3,782.32x = 12,995,616.20
  5. Step 5: Solve for x
    x = 12,995,616.20/3,782.32
  6. Step 6: Final answer
    x = 3,435.88

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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.