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Finding the Fourth Proportional to 3,797.32, 5,238.90 and 2,224.84

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Solution

The fourth proportional to 3,797.32, 5,238.90 and 2,224.84 is: 3,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.32 : 5,238.90 = 2,224.84 : x
  2. Step 2: Convert to fraction form
    3,797.32/5,238.90 = 2,224.84/x
  3. Step 3: Cross multiply
    3,797.32x = 5,238.90 × 2,224.84
  4. Step 4: Simplify right side
    3,797.32x = 11,655,714.28
  5. Step 5: Solve for x
    x = 11,655,714.28/3,797.32
  6. Step 6: Final answer
    x = 3,069.46

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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.