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Finding the Fourth Proportional to 5,410.56, 7,467.84 and 3,422.82

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Solution

The fourth proportional to 5,410.56, 7,467.84 and 3,422.82 is: 4,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.56 : 7,467.84 = 3,422.82 : x
  2. Step 2: Convert to fraction form
    5,410.56/7,467.84 = 3,422.82/x
  3. Step 3: Cross multiply
    5,410.56x = 7,467.84 × 3,422.82
  4. Step 4: Simplify right side
    5,410.56x = 25,561,072.11
  5. Step 5: Solve for x
    x = 25,561,072.11/5,410.56
  6. Step 6: Final answer
    x = 4,724.29

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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.